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Finding the Fourth Proportional to 38,051.32, 52,498.92 and 22,948.60

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Solution

The fourth proportional to 38,051.32, 52,498.92 and 22,948.60 is: 31,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.32 : 52,498.92 = 22,948.60 : x
  2. Step 2: Convert to fraction form
    38,051.32/52,498.92 = 22,948.60/x
  3. Step 3: Cross multiply
    38,051.32x = 52,498.92 × 22,948.60
  4. Step 4: Simplify right side
    38,051.32x = 1,204,776,715.51
  5. Step 5: Solve for x
    x = 1,204,776,715.51/38,051.32
  6. Step 6: Final answer
    x = 31,661.89

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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.