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Finding the Fourth Proportional to 105,405.48, 145,460.79 and 57,657.80

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Solution

The fourth proportional to 105,405.48, 145,460.79 and 57,657.80 is: 79,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,405.48 : 145,460.79 = 57,657.80 : x
  2. Step 2: Convert to fraction form
    105,405.48/145,460.79 = 57,657.80/x
  3. Step 3: Cross multiply
    105,405.48x = 145,460.79 × 57,657.80
  4. Step 4: Simplify right side
    105,405.48x = 8,386,949,501.31
  5. Step 5: Solve for x
    x = 8,386,949,501.31/105,405.48
  6. Step 6: Final answer
    x = 79,568.44

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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.