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Finding the Fourth Proportional to 52,448.38, 72,368.78 and 30,944.91

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Solution

The fourth proportional to 52,448.38, 72,368.78 and 30,944.91 is: 42,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,448.38 : 72,368.78 = 30,944.91 : x
  2. Step 2: Convert to fraction form
    52,448.38/72,368.78 = 30,944.91/x
  3. Step 3: Cross multiply
    52,448.38x = 72,368.78 × 30,944.91
  4. Step 4: Simplify right side
    52,448.38x = 2,239,445,383.91
  5. Step 5: Solve for x
    x = 2,239,445,383.91/52,448.38
  6. Step 6: Final answer
    x = 42,698.08

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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.