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Finding the Fourth Proportional to 31,659.84, 47,490.88 and 24,277.76

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Solution

The fourth proportional to 31,659.84, 47,490.88 and 24,277.76 is: 36,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,659.84 : 47,490.88 = 24,277.76 : x
  2. Step 2: Convert to fraction form
    31,659.84/47,490.88 = 24,277.76/x
  3. Step 3: Cross multiply
    31,659.84x = 47,490.88 × 24,277.76
  4. Step 4: Simplify right side
    31,659.84x = 1,152,972,186.83
  5. Step 5: Solve for x
    x = 1,152,972,186.83/31,659.84
  6. Step 6: Final answer
    x = 36,417.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.