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Finding the Fourth Proportional to 98,284.50, 135,632.70 and 53,572.50

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Solution

The fourth proportional to 98,284.50, 135,632.70 and 53,572.50 is: 73,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,284.50 : 135,632.70 = 53,572.50 : x
  2. Step 2: Convert to fraction form
    98,284.50/135,632.70 = 53,572.50/x
  3. Step 3: Cross multiply
    98,284.50x = 135,632.70 × 53,572.50
  4. Step 4: Simplify right side
    98,284.50x = 7,266,182,820.75
  5. Step 5: Solve for x
    x = 7,266,182,820.75/98,284.50
  6. Step 6: Final answer
    x = 73,930.10

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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.