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Finding the Fourth Proportional to 37,254.38, 51,411.65 and 20,258.96

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Solution

The fourth proportional to 37,254.38, 51,411.65 and 20,258.96 is: 27,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,254.38 : 51,411.65 = 20,258.96 : x
  2. Step 2: Convert to fraction form
    37,254.38/51,411.65 = 20,258.96/x
  3. Step 3: Cross multiply
    37,254.38x = 51,411.65 × 20,258.96
  4. Step 4: Simplify right side
    37,254.38x = 1,041,546,547.27
  5. Step 5: Solve for x
    x = 1,041,546,547.27/37,254.38
  6. Step 6: Final answer
    x = 27,957.69

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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.