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Finding the Fourth Proportional to 78,034.16, 107,686.34 and 42,223.38

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Solution

The fourth proportional to 78,034.16, 107,686.34 and 42,223.38 is: 58,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.16 : 107,686.34 = 42,223.38 : x
  2. Step 2: Convert to fraction form
    78,034.16/107,686.34 = 42,223.38/x
  3. Step 3: Cross multiply
    78,034.16x = 107,686.34 × 42,223.38
  4. Step 4: Simplify right side
    78,034.16x = 4,546,881,254.63
  5. Step 5: Solve for x
    x = 4,546,881,254.63/78,034.16
  6. Step 6: Final answer
    x = 58,267.83

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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.