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Finding the Fourth Proportional to 105,776.24, 145,963.80 and 58,028.48

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Solution

The fourth proportional to 105,776.24, 145,963.80 and 58,028.48 is: 80,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,776.24 : 145,963.80 = 58,028.48 : x
  2. Step 2: Convert to fraction form
    105,776.24/145,963.80 = 58,028.48/x
  3. Step 3: Cross multiply
    105,776.24x = 145,963.80 × 58,028.48
  4. Step 4: Simplify right side
    105,776.24x = 8,470,057,449.02
  5. Step 5: Solve for x
    x = 8,470,057,449.02/105,776.24
  6. Step 6: Final answer
    x = 80,075.24

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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.