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Finding the Fourth Proportional to 78,031.68, 107,684.58 and 42,222.39

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Solution

The fourth proportional to 78,031.68, 107,684.58 and 42,222.39 is: 58,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,031.68 : 107,684.58 = 42,222.39 : x
  2. Step 2: Convert to fraction form
    78,031.68/107,684.58 = 42,222.39/x
  3. Step 3: Cross multiply
    78,031.68x = 107,684.58 × 42,222.39
  4. Step 4: Simplify right side
    78,031.68x = 4,546,700,333.75
  5. Step 5: Solve for x
    x = 4,546,700,333.75/78,031.68
  6. Step 6: Final answer
    x = 58,267.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.