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Finding the Fourth Proportional to 65,746.16, 98,450.76 and 45,727.28

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Solution

The fourth proportional to 65,746.16, 98,450.76 and 45,727.28 is: 68,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746.16 : 98,450.76 = 45,727.28 : x
  2. Step 2: Convert to fraction form
    65,746.16/98,450.76 = 45,727.28/x
  3. Step 3: Cross multiply
    65,746.16x = 98,450.76 × 45,727.28
  4. Step 4: Simplify right side
    65,746.16x = 4,501,885,468.73
  5. Step 5: Solve for x
    x = 4,501,885,468.73/65,746.16
  6. Step 6: Final answer
    x = 68,473.74

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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.