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Finding the Fourth Proportional to 97,005.59, 133,856.88 and 54,563.21

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Solution

The fourth proportional to 97,005.59, 133,856.88 and 54,563.21 is: 75,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,005.59 : 133,856.88 = 54,563.21 : x
  2. Step 2: Convert to fraction form
    97,005.59/133,856.88 = 54,563.21/x
  3. Step 3: Cross multiply
    97,005.59x = 133,856.88 × 54,563.21
  4. Step 4: Simplify right side
    97,005.59x = 7,303,661,053.38
  5. Step 5: Solve for x
    x = 7,303,661,053.38/97,005.59
  6. Step 6: Final answer
    x = 75,291.14

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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.