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Finding the Fourth Proportional to 53,508.10, 73,834.84 and 30,854.52

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Solution

The fourth proportional to 53,508.10, 73,834.84 and 30,854.52 is: 42,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,508.10 : 73,834.84 = 30,854.52 : x
  2. Step 2: Convert to fraction form
    53,508.10/73,834.84 = 30,854.52/x
  3. Step 3: Cross multiply
    53,508.10x = 73,834.84 × 30,854.52
  4. Step 4: Simplify right side
    53,508.10x = 2,278,138,547.48
  5. Step 5: Solve for x
    x = 2,278,138,547.48/53,508.10
  6. Step 6: Final answer
    x = 42,575.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.