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Finding the Fourth Proportional to 70,514.60, 97,312.19 and 38,685.51

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Solution

The fourth proportional to 70,514.60, 97,312.19 and 38,685.51 is: 53,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,514.60 : 97,312.19 = 38,685.51 : x
  2. Step 2: Convert to fraction form
    70,514.60/97,312.19 = 38,685.51/x
  3. Step 3: Cross multiply
    70,514.60x = 97,312.19 × 38,685.51
  4. Step 4: Simplify right side
    70,514.60x = 3,764,571,505.94
  5. Step 5: Solve for x
    x = 3,764,571,505.94/70,514.60
  6. Step 6: Final answer
    x = 53,387.13

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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.