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Finding the Fourth Proportional to 53,675.32, 74,070.53 and 29,801.38

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Solution

The fourth proportional to 53,675.32, 74,070.53 and 29,801.38 is: 41,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,675.32 : 74,070.53 = 29,801.38 : x
  2. Step 2: Convert to fraction form
    53,675.32/74,070.53 = 29,801.38/x
  3. Step 3: Cross multiply
    53,675.32x = 74,070.53 × 29,801.38
  4. Step 4: Simplify right side
    53,675.32x = 2,207,403,788.90
  5. Step 5: Solve for x
    x = 2,207,403,788.90/53,675.32
  6. Step 6: Final answer
    x = 41,125.12

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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.