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Finding the Fourth Proportional to 105,752.25, 145,947.46 and 58,014.90

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Solution

The fourth proportional to 105,752.25, 145,947.46 and 58,014.90 is: 80,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,752.25 : 145,947.46 = 58,014.90 : x
  2. Step 2: Convert to fraction form
    105,752.25/145,947.46 = 58,014.90/x
  3. Step 3: Cross multiply
    105,752.25x = 145,947.46 × 58,014.90
  4. Step 4: Simplify right side
    105,752.25x = 8,467,127,297.15
  5. Step 5: Solve for x
    x = 8,467,127,297.15/105,752.25
  6. Step 6: Final answer
    x = 80,065.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.