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Finding the Fourth Proportional to 78,073.42, 107,741.38 and 42,263.32

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Solution

The fourth proportional to 78,073.42, 107,741.38 and 42,263.32 is: 58,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.42 : 107,741.38 = 42,263.32 : x
  2. Step 2: Convert to fraction form
    78,073.42/107,741.38 = 42,263.32/x
  3. Step 3: Cross multiply
    78,073.42x = 107,741.38 × 42,263.32
  4. Step 4: Simplify right side
    78,073.42x = 4,553,508,420.18
  5. Step 5: Solve for x
    x = 4,553,508,420.18/78,073.42
  6. Step 6: Final answer
    x = 58,323.41

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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.