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Finding the Fourth Proportional to 98,356, 147,535.44 and 24,484

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Solution

The fourth proportional to 98,356, 147,535.44 and 24,484 is: 36,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,356 : 147,535.44 = 24,484 : x
  2. Step 2: Convert to fraction form
    98,356/147,535.44 = 24,484/x
  3. Step 3: Cross multiply
    98,356x = 147,535.44 × 24,484
  4. Step 4: Simplify right side
    98,356x = 3,612,257,712.96
  5. Step 5: Solve for x
    x = 3,612,257,712.96/98,356
  6. Step 6: Final answer
    x = 36,726.36

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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.