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Finding the Fourth Proportional to 92,114.10, 138,059.10 and 52,033.68

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Solution

The fourth proportional to 92,114.10, 138,059.10 and 52,033.68 is: 77,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,114.10 : 138,059.10 = 52,033.68 : x
  2. Step 2: Convert to fraction form
    92,114.10/138,059.10 = 52,033.68/x
  3. Step 3: Cross multiply
    92,114.10x = 138,059.10 × 52,033.68
  4. Step 4: Simplify right side
    92,114.10x = 7,183,723,030.49
  5. Step 5: Solve for x
    x = 7,183,723,030.49/92,114.10
  6. Step 6: Final answer
    x = 77,987.22

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1.5x scale

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.