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Finding the Fourth Proportional to 47,526, 65,585.88 and 27,654

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Solution

The fourth proportional to 47,526, 65,585.88 and 27,654 is: 38,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,526 : 65,585.88 = 27,654 : x
  2. Step 2: Convert to fraction form
    47,526/65,585.88 = 27,654/x
  3. Step 3: Cross multiply
    47,526x = 65,585.88 × 27,654
  4. Step 4: Simplify right side
    47,526x = 1,813,711,925.52
  5. Step 5: Solve for x
    x = 1,813,711,925.52/47,526
  6. Step 6: Final answer
    x = 38,162.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.