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Finding the Fourth Proportional to 98,264.50, 147,397.71 and 24,392.50

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Solution

The fourth proportional to 98,264.50, 147,397.71 and 24,392.50 is: 36,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,264.50 : 147,397.71 = 24,392.50 : x
  2. Step 2: Convert to fraction form
    98,264.50/147,397.71 = 24,392.50/x
  3. Step 3: Cross multiply
    98,264.50x = 147,397.71 × 24,392.50
  4. Step 4: Simplify right side
    98,264.50x = 3,595,398,641.18
  5. Step 5: Solve for x
    x = 3,595,398,641.18/98,264.50
  6. Step 6: Final answer
    x = 36,588.99

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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.