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Finding the Fourth Proportional to 70,295.85, 97,008.84 and 38,465.01

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Solution

The fourth proportional to 70,295.85, 97,008.84 and 38,465.01 is: 53,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,295.85 : 97,008.84 = 38,465.01 : x
  2. Step 2: Convert to fraction form
    70,295.85/97,008.84 = 38,465.01/x
  3. Step 3: Cross multiply
    70,295.85x = 97,008.84 × 38,465.01
  4. Step 4: Simplify right side
    70,295.85x = 3,731,446,000.69
  5. Step 5: Solve for x
    x = 3,731,446,000.69/70,295.85
  6. Step 6: Final answer
    x = 53,082.02

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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.