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Finding the Fourth Proportional to 47,035.52, 64,898.88 and 27,152

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Solution

The fourth proportional to 47,035.52, 64,898.88 and 27,152 is: 37,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,035.52 : 64,898.88 = 27,152 : x
  2. Step 2: Convert to fraction form
    47,035.52/64,898.88 = 27,152/x
  3. Step 3: Cross multiply
    47,035.52x = 64,898.88 × 27,152
  4. Step 4: Simplify right side
    47,035.52x = 1,762,134,389.76
  5. Step 5: Solve for x
    x = 1,762,134,389.76/47,035.52
  6. Step 6: Final answer
    x = 37,463.91

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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.