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Finding the Fourth Proportional to 98,343, 147,515.04 and 24,471

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Solution

The fourth proportional to 98,343, 147,515.04 and 24,471 is: 36,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343 : 147,515.04 = 24,471 : x
  2. Step 2: Convert to fraction form
    98,343/147,515.04 = 24,471/x
  3. Step 3: Cross multiply
    98,343x = 147,515.04 × 24,471
  4. Step 4: Simplify right side
    98,343x = 3,609,840,543.84
  5. Step 5: Solve for x
    x = 3,609,840,543.84/98,343
  6. Step 6: Final answer
    x = 36,706.63

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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.