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Finding the Fourth Proportional to 47,011.52, 64,865.76 and 27,128

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Solution

The fourth proportional to 47,011.52, 64,865.76 and 27,128 is: 37,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,011.52 : 64,865.76 = 27,128 : x
  2. Step 2: Convert to fraction form
    47,011.52/64,865.76 = 27,128/x
  3. Step 3: Cross multiply
    47,011.52x = 64,865.76 × 27,128
  4. Step 4: Simplify right side
    47,011.52x = 1,759,678,337.28
  5. Step 5: Solve for x
    x = 1,759,678,337.28/47,011.52
  6. Step 6: Final answer
    x = 37,430.79

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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.