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Finding the Fourth Proportional to 101,378.68, 152,071.70 and 34,818.42

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Solution

The fourth proportional to 101,378.68, 152,071.70 and 34,818.42 is: 52,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,378.68 : 152,071.70 = 34,818.42 : x
  2. Step 2: Convert to fraction form
    101,378.68/152,071.70 = 34,818.42/x
  3. Step 3: Cross multiply
    101,378.68x = 152,071.70 × 34,818.42
  4. Step 4: Simplify right side
    101,378.68x = 5,294,896,320.71
  5. Step 5: Solve for x
    x = 5,294,896,320.71/101,378.68
  6. Step 6: Final answer
    x = 52,228.89

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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.