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Finding the Fourth Proportional to 65,439.95, 98,175.30 and 21,065.04

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Solution

The fourth proportional to 65,439.95, 98,175.30 and 21,065.04 is: 31,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,439.95 : 98,175.30 = 21,065.04 : x
  2. Step 2: Convert to fraction form
    65,439.95/98,175.30 = 21,065.04/x
  3. Step 3: Cross multiply
    65,439.95x = 98,175.30 × 21,065.04
  4. Step 4: Simplify right side
    65,439.95x = 2,068,066,279.69
  5. Step 5: Solve for x
    x = 2,068,066,279.69/65,439.95
  6. Step 6: Final answer
    x = 31,602.50

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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.