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Finding the Fourth Proportional to 34,140.50, 47,114.09 and 19,034.11

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Solution

The fourth proportional to 34,140.50, 47,114.09 and 19,034.11 is: 26,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,140.50 : 47,114.09 = 19,034.11 : x
  2. Step 2: Convert to fraction form
    34,140.50/47,114.09 = 19,034.11/x
  3. Step 3: Cross multiply
    34,140.50x = 47,114.09 × 19,034.11
  4. Step 4: Simplify right side
    34,140.50x = 896,774,771.61
  5. Step 5: Solve for x
    x = 896,774,771.61/34,140.50
  6. Step 6: Final answer
    x = 26,267.18

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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.