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Finding the Fourth Proportional to 97,496, 146,244.80 and 23,624

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Solution

The fourth proportional to 97,496, 146,244.80 and 23,624 is: 35,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496 : 146,244.80 = 23,624 : x
  2. Step 2: Convert to fraction form
    97,496/146,244.80 = 23,624/x
  3. Step 3: Cross multiply
    97,496x = 146,244.80 × 23,624
  4. Step 4: Simplify right side
    97,496x = 3,454,887,155.20
  5. Step 5: Solve for x
    x = 3,454,887,155.20/97,496
  6. Step 6: Final answer
    x = 35,436.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.