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Finding the Fourth Proportional to 98,261, 147,392.46 and 24,389

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Solution

The fourth proportional to 98,261, 147,392.46 and 24,389 is: 36,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,261 : 147,392.46 = 24,389 : x
  2. Step 2: Convert to fraction form
    98,261/147,392.46 = 24,389/x
  3. Step 3: Cross multiply
    98,261x = 147,392.46 × 24,389
  4. Step 4: Simplify right side
    98,261x = 3,594,754,706.94
  5. Step 5: Solve for x
    x = 3,594,754,706.94/98,261
  6. Step 6: Final answer
    x = 36,583.74

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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.