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Finding the Fourth Proportional to 65,822.16, 98,642.16 and 57,035.28

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Solution

The fourth proportional to 65,822.16, 98,642.16 and 57,035.28 is: 85,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822.16 : 98,642.16 = 57,035.28 : x
  2. Step 2: Convert to fraction form
    65,822.16/98,642.16 = 57,035.28/x
  3. Step 3: Cross multiply
    65,822.16x = 98,642.16 × 57,035.28
  4. Step 4: Simplify right side
    65,822.16x = 5,626,083,215.40
  5. Step 5: Solve for x
    x = 5,626,083,215.40/65,822.16
  6. Step 6: Final answer
    x = 85,474.00

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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.