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Finding the Fourth Proportional to 92,035.68, 138,053.72 and 25,476

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Solution

The fourth proportional to 92,035.68, 138,053.72 and 25,476 is: 38,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,035.68 : 138,053.72 = 25,476 : x
  2. Step 2: Convert to fraction form
    92,035.68/138,053.72 = 25,476/x
  3. Step 3: Cross multiply
    92,035.68x = 138,053.72 × 25,476
  4. Step 4: Simplify right side
    92,035.68x = 3,517,056,443.34
  5. Step 5: Solve for x
    x = 3,517,056,443.34/92,035.68
  6. Step 6: Final answer
    x = 38,214.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.