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Finding the Fourth Proportional to 98,371, 147,557.04 and 24,499

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Solution

The fourth proportional to 98,371, 147,557.04 and 24,499 is: 36,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,371 : 147,557.04 = 24,499 : x
  2. Step 2: Convert to fraction form
    98,371/147,557.04 = 24,499/x
  3. Step 3: Cross multiply
    98,371x = 147,557.04 × 24,499
  4. Step 4: Simplify right side
    98,371x = 3,614,999,922.96
  5. Step 5: Solve for x
    x = 3,614,999,922.96/98,371
  6. Step 6: Final answer
    x = 36,748.63

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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.