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Finding the Fourth Proportional to 70,503, 97,294.14 and 40,695

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Solution

The fourth proportional to 70,503, 97,294.14 and 40,695 is: 56,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,503 : 97,294.14 = 40,695 : x
  2. Step 2: Convert to fraction form
    70,503/97,294.14 = 40,695/x
  3. Step 3: Cross multiply
    70,503x = 97,294.14 × 40,695
  4. Step 4: Simplify right side
    70,503x = 3,959,385,027.30
  5. Step 5: Solve for x
    x = 3,959,385,027.30/70,503
  6. Step 6: Final answer
    x = 56,159.10

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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.