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Finding the Fourth Proportional to 44,496, 61,405.44 and 24,624

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Solution

The fourth proportional to 44,496, 61,405.44 and 24,624 is: 33,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,496 : 61,405.44 = 24,624 : x
  2. Step 2: Convert to fraction form
    44,496/61,405.44 = 24,624/x
  3. Step 3: Cross multiply
    44,496x = 61,405.44 × 24,624
  4. Step 4: Simplify right side
    44,496x = 1,512,047,554.56
  5. Step 5: Solve for x
    x = 1,512,047,554.56/44,496
  6. Step 6: Final answer
    x = 33,981.65

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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.