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Finding the Fourth Proportional to 42,897.25, 64,346.01 and 11,732.50

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Solution

The fourth proportional to 42,897.25, 64,346.01 and 11,732.50 is: 17,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,897.25 : 64,346.01 = 11,732.50 : x
  2. Step 2: Convert to fraction form
    42,897.25/64,346.01 = 11,732.50/x
  3. Step 3: Cross multiply
    42,897.25x = 64,346.01 × 11,732.50
  4. Step 4: Simplify right side
    42,897.25x = 754,939,562.33
  5. Step 5: Solve for x
    x = 754,939,562.33/42,897.25
  6. Step 6: Final answer
    x = 17,598.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.