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Finding the Fourth Proportional to 98,373.30, 147,568.06 and 31,824.12

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Solution

The fourth proportional to 98,373.30, 147,568.06 and 31,824.12 is: 47,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,373.30 : 147,568.06 = 31,824.12 : x
  2. Step 2: Convert to fraction form
    98,373.30/147,568.06 = 31,824.12/x
  3. Step 3: Cross multiply
    98,373.30x = 147,568.06 × 31,824.12
  4. Step 4: Simplify right side
    98,373.30x = 4,696,223,649.61
  5. Step 5: Solve for x
    x = 4,696,223,649.61/98,373.30
  6. Step 6: Final answer
    x = 47,738.80

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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.