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Finding the Fourth Proportional to 101,678.19, 152,587.70 and 35,118.87

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Solution

The fourth proportional to 101,678.19, 152,587.70 and 35,118.87 is: 52,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,678.19 : 152,587.70 = 35,118.87 : x
  2. Step 2: Convert to fraction form
    101,678.19/152,587.70 = 35,118.87/x
  3. Step 3: Cross multiply
    101,678.19x = 152,587.70 × 35,118.87
  4. Step 4: Simplify right side
    101,678.19x = 5,358,706,983.80
  5. Step 5: Solve for x
    x = 5,358,706,983.80/101,678.19
  6. Step 6: Final answer
    x = 52,702.62

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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.