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Finding the Fourth Proportional to 38,501.96, 53,116.98 and 23,394.92

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Solution

The fourth proportional to 38,501.96, 53,116.98 and 23,394.92 is: 32,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.96 : 53,116.98 = 23,394.92 : x
  2. Step 2: Convert to fraction form
    38,501.96/53,116.98 = 23,394.92/x
  3. Step 3: Cross multiply
    38,501.96x = 53,116.98 × 23,394.92
  4. Step 4: Simplify right side
    38,501.96x = 1,242,667,497.74
  5. Step 5: Solve for x
    x = 1,242,667,497.74/38,501.96
  6. Step 6: Final answer
    x = 32,275.43

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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.