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Finding the Fourth Proportional to 36,140, 49,818.53 and 31,077.10

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Solution

The fourth proportional to 36,140, 49,818.53 and 31,077.10 is: 42,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,140 : 49,818.53 = 31,077.10 : x
  2. Step 2: Convert to fraction form
    36,140/49,818.53 = 31,077.10/x
  3. Step 3: Cross multiply
    36,140x = 49,818.53 × 31,077.10
  4. Step 4: Simplify right side
    36,140x = 1,548,215,034.18
  5. Step 5: Solve for x
    x = 1,548,215,034.18/36,140
  6. Step 6: Final answer
    x = 42,839.38

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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.