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Finding the Fourth Proportional to 38,053.68, 57,079.16 and 9,973.50

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Solution

The fourth proportional to 38,053.68, 57,079.16 and 9,973.50 is: 14,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053.68 : 57,079.16 = 9,973.50 : x
  2. Step 2: Convert to fraction form
    38,053.68/57,079.16 = 9,973.50/x
  3. Step 3: Cross multiply
    38,053.68x = 57,079.16 × 9,973.50
  4. Step 4: Simplify right side
    38,053.68x = 569,279,002.26
  5. Step 5: Solve for x
    x = 569,279,002.26/38,053.68
  6. Step 6: Final answer
    x = 14,959.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.