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Finding the Fourth Proportional to 65,852.16, 98,663.28 and 54,829.76

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Solution

The fourth proportional to 65,852.16, 98,663.28 and 54,829.76 is: 82,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852.16 : 98,663.28 = 54,829.76 : x
  2. Step 2: Convert to fraction form
    65,852.16/98,663.28 = 54,829.76/x
  3. Step 3: Cross multiply
    65,852.16x = 98,663.28 × 54,829.76
  4. Step 4: Simplify right side
    65,852.16x = 5,409,683,963.21
  5. Step 5: Solve for x
    x = 5,409,683,963.21/65,852.16
  6. Step 6: Final answer
    x = 82,148.92

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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.