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Finding the Fourth Proportional to 72,358.38, 99,854.86 and 42,164.42

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Solution

The fourth proportional to 72,358.38, 99,854.86 and 42,164.42 is: 58,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,358.38 : 99,854.86 = 42,164.42 : x
  2. Step 2: Convert to fraction form
    72,358.38/99,854.86 = 42,164.42/x
  3. Step 3: Cross multiply
    72,358.38x = 99,854.86 × 42,164.42
  4. Step 4: Simplify right side
    72,358.38x = 4,210,322,256.08
  5. Step 5: Solve for x
    x = 4,210,322,256.08/72,358.38
  6. Step 6: Final answer
    x = 58,187.07

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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.