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Finding the Fourth Proportional to 65,802.24, 98,657.28 and 24,238.08

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Solution

The fourth proportional to 65,802.24, 98,657.28 and 24,238.08 is: 36,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802.24 : 98,657.28 = 24,238.08 : x
  2. Step 2: Convert to fraction form
    65,802.24/98,657.28 = 24,238.08/x
  3. Step 3: Cross multiply
    65,802.24x = 98,657.28 × 24,238.08
  4. Step 4: Simplify right side
    65,802.24x = 2,391,263,045.22
  5. Step 5: Solve for x
    x = 2,391,263,045.22/65,802.24
  6. Step 6: Final answer
    x = 36,340.15

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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.