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Finding the Fourth Proportional to 70,706.34, 97,572.24 and 38,875

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Solution

The fourth proportional to 70,706.34, 97,572.24 and 38,875 is: 53,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706.34 : 97,572.24 = 38,875 : x
  2. Step 2: Convert to fraction form
    70,706.34/97,572.24 = 38,875/x
  3. Step 3: Cross multiply
    70,706.34x = 97,572.24 × 38,875
  4. Step 4: Simplify right side
    70,706.34x = 3,793,120,830
  5. Step 5: Solve for x
    x = 3,793,120,830/70,706.34
  6. Step 6: Final answer
    x = 53,646.12

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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.