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Finding the Fourth Proportional to 70,325.92, 97,049.80 and 38,495

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Solution

The fourth proportional to 70,325.92, 97,049.80 and 38,495 is: 53,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,325.92 : 97,049.80 = 38,495 : x
  2. Step 2: Convert to fraction form
    70,325.92/97,049.80 = 38,495/x
  3. Step 3: Cross multiply
    70,325.92x = 97,049.80 × 38,495
  4. Step 4: Simplify right side
    70,325.92x = 3,735,932,051
  5. Step 5: Solve for x
    x = 3,735,932,051/70,325.92
  6. Step 6: Final answer
    x = 53,123.12

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1.5x scale

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.