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Finding the Fourth Proportional to 38,176.71, 52,705.94 and 25,426.59

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Solution

The fourth proportional to 38,176.71, 52,705.94 and 25,426.59 is: 35,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.71 : 52,705.94 = 25,426.59 : x
  2. Step 2: Convert to fraction form
    38,176.71/52,705.94 = 25,426.59/x
  3. Step 3: Cross multiply
    38,176.71x = 52,705.94 × 25,426.59
  4. Step 4: Simplify right side
    38,176.71x = 1,340,132,199.81
  5. Step 5: Solve for x
    x = 1,340,132,199.81/38,176.71
  6. Step 6: Final answer
    x = 35,103.40

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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.