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Finding the Fourth Proportional to 65,693.16, 98,448.84 and 56,906.28

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Solution

The fourth proportional to 65,693.16, 98,448.84 and 56,906.28 is: 85,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.16 : 98,448.84 = 56,906.28 : x
  2. Step 2: Convert to fraction form
    65,693.16/98,448.84 = 56,906.28/x
  3. Step 3: Cross multiply
    65,693.16x = 98,448.84 × 56,906.28
  4. Step 4: Simplify right side
    65,693.16x = 5,602,357,254.72
  5. Step 5: Solve for x
    x = 5,602,357,254.72/65,693.16
  6. Step 6: Final answer
    x = 85,280.68

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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.