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Finding the Fourth Proportional to 74,435.60, 102,730 and 42,614.72

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Solution

The fourth proportional to 74,435.60, 102,730 and 42,614.72 is: 58,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,435.60 : 102,730 = 42,614.72 : x
  2. Step 2: Convert to fraction form
    74,435.60/102,730 = 42,614.72/x
  3. Step 3: Cross multiply
    74,435.60x = 102,730 × 42,614.72
  4. Step 4: Simplify right side
    74,435.60x = 4,377,810,185.60
  5. Step 5: Solve for x
    x = 4,377,810,185.60/74,435.60
  6. Step 6: Final answer
    x = 58,813.39

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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.