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Finding the Fourth Proportional to 38,510.70, 53,116.34 and 24,349.88

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Solution

The fourth proportional to 38,510.70, 53,116.34 and 24,349.88 is: 33,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.70 : 53,116.34 = 24,349.88 : x
  2. Step 2: Convert to fraction form
    38,510.70/53,116.34 = 24,349.88/x
  3. Step 3: Cross multiply
    38,510.70x = 53,116.34 × 24,349.88
  4. Step 4: Simplify right side
    38,510.70x = 1,293,376,117.71
  5. Step 5: Solve for x
    x = 1,293,376,117.71/38,510.70
  6. Step 6: Final answer
    x = 33,584.85

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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.