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Finding the Fourth Proportional to 44,657.04, 61,624.32 and 24,510

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Solution

The fourth proportional to 44,657.04, 61,624.32 and 24,510 is: 33,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,657.04 : 61,624.32 = 24,510 : x
  2. Step 2: Convert to fraction form
    44,657.04/61,624.32 = 24,510/x
  3. Step 3: Cross multiply
    44,657.04x = 61,624.32 × 24,510
  4. Step 4: Simplify right side
    44,657.04x = 1,510,412,083.20
  5. Step 5: Solve for x
    x = 1,510,412,083.20/44,657.04
  6. Step 6: Final answer
    x = 33,822.49

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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.