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Finding the Fourth Proportional to 97,706.40, 146,530.80 and 38,522.40

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Solution

The fourth proportional to 97,706.40, 146,530.80 and 38,522.40 is: 57,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.40 : 146,530.80 = 38,522.40 : x
  2. Step 2: Convert to fraction form
    97,706.40/146,530.80 = 38,522.40/x
  3. Step 3: Cross multiply
    97,706.40x = 146,530.80 × 38,522.40
  4. Step 4: Simplify right side
    97,706.40x = 5,644,718,089.92
  5. Step 5: Solve for x
    x = 5,644,718,089.92/97,706.40
  6. Step 6: Final answer
    x = 57,772.25

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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.