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Finding the Fourth Proportional to 98,294.61, 135,646.23 and 53,582.61

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Solution

The fourth proportional to 98,294.61, 135,646.23 and 53,582.61 is: 73,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,294.61 : 135,646.23 = 53,582.61 : x
  2. Step 2: Convert to fraction form
    98,294.61/135,646.23 = 53,582.61/x
  3. Step 3: Cross multiply
    98,294.61x = 135,646.23 × 53,582.61
  4. Step 4: Simplify right side
    98,294.61x = 7,268,279,040.06
  5. Step 5: Solve for x
    x = 7,268,279,040.06/98,294.61
  6. Step 6: Final answer
    x = 73,943.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.