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Finding the Fourth Proportional to 42,397.60, 58,482.48 and 28,057.60

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Solution

The fourth proportional to 42,397.60, 58,482.48 and 28,057.60 is: 38,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,397.60 : 58,482.48 = 28,057.60 : x
  2. Step 2: Convert to fraction form
    42,397.60/58,482.48 = 28,057.60/x
  3. Step 3: Cross multiply
    42,397.60x = 58,482.48 × 28,057.60
  4. Step 4: Simplify right side
    42,397.60x = 1,640,878,030.85
  5. Step 5: Solve for x
    x = 1,640,878,030.85/42,397.60
  6. Step 6: Final answer
    x = 38,702.14

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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.