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Finding the Fourth Proportional to 97,355.04, 134,341.92 and 54,924

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Solution

The fourth proportional to 97,355.04, 134,341.92 and 54,924 is: 75,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,355.04 : 134,341.92 = 54,924 : x
  2. Step 2: Convert to fraction form
    97,355.04/134,341.92 = 54,924/x
  3. Step 3: Cross multiply
    97,355.04x = 134,341.92 × 54,924
  4. Step 4: Simplify right side
    97,355.04x = 7,378,595,614.08
  5. Step 5: Solve for x
    x = 7,378,595,614.08/97,355.04
  6. Step 6: Final answer
    x = 75,790.59

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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.