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Finding the Fourth Proportional to 65,642.16, 98,475.48 and 21,264.96

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Solution

The fourth proportional to 65,642.16, 98,475.48 and 21,264.96 is: 31,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.16 : 98,475.48 = 21,264.96 : x
  2. Step 2: Convert to fraction form
    65,642.16/98,475.48 = 21,264.96/x
  3. Step 3: Cross multiply
    65,642.16x = 98,475.48 × 21,264.96
  4. Step 4: Simplify right side
    65,642.16x = 2,094,077,143.18
  5. Step 5: Solve for x
    x = 2,094,077,143.18/65,642.16
  6. Step 6: Final answer
    x = 31,901.41

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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.