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Finding the Fourth Proportional to 97,555.68, 146,316.96 and 27,418.50

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Solution

The fourth proportional to 97,555.68, 146,316.96 and 27,418.50 is: 41,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,555.68 : 146,316.96 = 27,418.50 : x
  2. Step 2: Convert to fraction form
    97,555.68/146,316.96 = 27,418.50/x
  3. Step 3: Cross multiply
    97,555.68x = 146,316.96 × 27,418.50
  4. Step 4: Simplify right side
    97,555.68x = 4,011,791,567.76
  5. Step 5: Solve for x
    x = 4,011,791,567.76/97,555.68
  6. Step 6: Final answer
    x = 41,123.10

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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.