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Finding the Fourth Proportional to 45,041.16, 62,154.84 and 24,897

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Solution

The fourth proportional to 45,041.16, 62,154.84 and 24,897 is: 34,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,041.16 : 62,154.84 = 24,897 : x
  2. Step 2: Convert to fraction form
    45,041.16/62,154.84 = 24,897/x
  3. Step 3: Cross multiply
    45,041.16x = 62,154.84 × 24,897
  4. Step 4: Simplify right side
    45,041.16x = 1,547,469,051.48
  5. Step 5: Solve for x
    x = 1,547,469,051.48/45,041.16
  6. Step 6: Final answer
    x = 34,356.78

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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.