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Finding the Fourth Proportional to 43,496, 60,024.48 and 23,624

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Solution

The fourth proportional to 43,496, 60,024.48 and 23,624 is: 32,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,496 : 60,024.48 = 23,624 : x
  2. Step 2: Convert to fraction form
    43,496/60,024.48 = 23,624/x
  3. Step 3: Cross multiply
    43,496x = 60,024.48 × 23,624
  4. Step 4: Simplify right side
    43,496x = 1,418,018,315.52
  5. Step 5: Solve for x
    x = 1,418,018,315.52/43,496
  6. Step 6: Final answer
    x = 32,601.12

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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.