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Finding the Fourth Proportional to 44,624, 61,584 and 24,752

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Solution

The fourth proportional to 44,624, 61,584 and 24,752 is: 34,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,624 : 61,584 = 24,752 : x
  2. Step 2: Convert to fraction form
    44,624/61,584 = 24,752/x
  3. Step 3: Cross multiply
    44,624x = 61,584 × 24,752
  4. Step 4: Simplify right side
    44,624x = 1,524,327,168
  5. Step 5: Solve for x
    x = 1,524,327,168/44,624
  6. Step 6: Final answer
    x = 34,159.36

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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.