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Finding the Fourth Proportional to 65,877.71, 98,816.70 and 30,841.97

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Solution

The fourth proportional to 65,877.71, 98,816.70 and 30,841.97 is: 46,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877.71 : 98,816.70 = 30,841.97 : x
  2. Step 2: Convert to fraction form
    65,877.71/98,816.70 = 30,841.97/x
  3. Step 3: Cross multiply
    65,877.71x = 98,816.70 × 30,841.97
  4. Step 4: Simplify right side
    65,877.71x = 3,047,701,696.90
  5. Step 5: Solve for x
    x = 3,047,701,696.90/65,877.71
  6. Step 6: Final answer
    x = 46,263.02

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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.