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Finding the Fourth Proportional to 70,478.76, 97,311.70 and 45,372

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Solution

The fourth proportional to 70,478.76, 97,311.70 and 45,372 is: 62,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,478.76 : 97,311.70 = 45,372 : x
  2. Step 2: Convert to fraction form
    70,478.76/97,311.70 = 45,372/x
  3. Step 3: Cross multiply
    70,478.76x = 97,311.70 × 45,372
  4. Step 4: Simplify right side
    70,478.76x = 4,415,226,452.40
  5. Step 5: Solve for x
    x = 4,415,226,452.40/70,478.76
  6. Step 6: Final answer
    x = 62,646.20

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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.