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Finding the Fourth Proportional to 47,356.32, 71,038.32 and 15,765.24

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Solution

The fourth proportional to 47,356.32, 71,038.32 and 15,765.24 is: 23,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,356.32 : 71,038.32 = 15,765.24 : x
  2. Step 2: Convert to fraction form
    47,356.32/71,038.32 = 15,765.24/x
  3. Step 3: Cross multiply
    47,356.32x = 71,038.32 × 15,765.24
  4. Step 4: Simplify right side
    47,356.32x = 1,119,936,164.00
  5. Step 5: Solve for x
    x = 1,119,936,164.00/47,356.32
  6. Step 6: Final answer
    x = 23,649.14

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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.