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Finding the Fourth Proportional to 38,572.29, 53,238.33 and 23,461.74

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Solution

The fourth proportional to 38,572.29, 53,238.33 and 23,461.74 is: 32,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,572.29 : 53,238.33 = 23,461.74 : x
  2. Step 2: Convert to fraction form
    38,572.29/53,238.33 = 23,461.74/x
  3. Step 3: Cross multiply
    38,572.29x = 53,238.33 × 23,461.74
  4. Step 4: Simplify right side
    38,572.29x = 1,249,063,856.49
  5. Step 5: Solve for x
    x = 1,249,063,856.49/38,572.29
  6. Step 6: Final answer
    x = 32,382.41

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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.