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Finding the Fourth Proportional to 92,124.96, 138,166.80 and 35,966.40

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Solution

The fourth proportional to 92,124.96, 138,166.80 and 35,966.40 is: 53,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,124.96 : 138,166.80 = 35,966.40 : x
  2. Step 2: Convert to fraction form
    92,124.96/138,166.80 = 35,966.40/x
  3. Step 3: Cross multiply
    92,124.96x = 138,166.80 × 35,966.40
  4. Step 4: Simplify right side
    92,124.96x = 4,969,362,395.52
  5. Step 5: Solve for x
    x = 4,969,362,395.52/92,124.96
  6. Step 6: Final answer
    x = 53,941.54

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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.