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Finding the Fourth Proportional to 65,832.66, 98,730.14 and 21,463.28

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Solution

The fourth proportional to 65,832.66, 98,730.14 and 21,463.28 is: 32,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,832.66 : 98,730.14 = 21,463.28 : x
  2. Step 2: Convert to fraction form
    65,832.66/98,730.14 = 21,463.28/x
  3. Step 3: Cross multiply
    65,832.66x = 98,730.14 × 21,463.28
  4. Step 4: Simplify right side
    65,832.66x = 2,119,072,639.26
  5. Step 5: Solve for x
    x = 2,119,072,639.26/65,832.66
  6. Step 6: Final answer
    x = 32,188.77

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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.