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Finding the Fourth Proportional to 53,421.58, 73,715.31 and 29,545

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Solution

The fourth proportional to 53,421.58, 73,715.31 and 29,545 is: 40,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,421.58 : 73,715.31 = 29,545 : x
  2. Step 2: Convert to fraction form
    53,421.58/73,715.31 = 29,545/x
  3. Step 3: Cross multiply
    53,421.58x = 73,715.31 × 29,545
  4. Step 4: Simplify right side
    53,421.58x = 2,177,918,833.95
  5. Step 5: Solve for x
    x = 2,177,918,833.95/53,421.58
  6. Step 6: Final answer
    x = 40,768.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.