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Finding the Fourth Proportional to 39,628.24, 59,442.24 and 10,046

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Solution

The fourth proportional to 39,628.24, 59,442.24 and 10,046 is: 15,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,628.24 : 59,442.24 = 10,046 : x
  2. Step 2: Convert to fraction form
    39,628.24/59,442.24 = 10,046/x
  3. Step 3: Cross multiply
    39,628.24x = 59,442.24 × 10,046
  4. Step 4: Simplify right side
    39,628.24x = 597,156,743.04
  5. Step 5: Solve for x
    x = 597,156,743.04/39,628.24
  6. Step 6: Final answer
    x = 15,068.97

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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.