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Finding the Fourth Proportional to 45,386, 62,632.68 and 25,514

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Solution

The fourth proportional to 45,386, 62,632.68 and 25,514 is: 35,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,386 : 62,632.68 = 25,514 : x
  2. Step 2: Convert to fraction form
    45,386/62,632.68 = 25,514/x
  3. Step 3: Cross multiply
    45,386x = 62,632.68 × 25,514
  4. Step 4: Simplify right side
    45,386x = 1,598,010,197.52
  5. Step 5: Solve for x
    x = 1,598,010,197.52/45,386
  6. Step 6: Final answer
    x = 35,209.32

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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.