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Finding the Fourth Proportional to 70,498.65, 97,294.38 and 38,673.75

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Solution

The fourth proportional to 70,498.65, 97,294.38 and 38,673.75 is: 53,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.65 : 97,294.38 = 38,673.75 : x
  2. Step 2: Convert to fraction form
    70,498.65/97,294.38 = 38,673.75/x
  3. Step 3: Cross multiply
    70,498.65x = 97,294.38 × 38,673.75
  4. Step 4: Simplify right side
    70,498.65x = 3,762,738,528.53
  5. Step 5: Solve for x
    x = 3,762,738,528.53/70,498.65
  6. Step 6: Final answer
    x = 53,373.20

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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.