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Finding the Fourth Proportional to 78,145.34, 107,840.44 and 42,335.50

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Solution

The fourth proportional to 78,145.34, 107,840.44 and 42,335.50 is: 58,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,145.34 : 107,840.44 = 42,335.50 : x
  2. Step 2: Convert to fraction form
    78,145.34/107,840.44 = 42,335.50/x
  3. Step 3: Cross multiply
    78,145.34x = 107,840.44 × 42,335.50
  4. Step 4: Simplify right side
    78,145.34x = 4,565,478,947.62
  5. Step 5: Solve for x
    x = 4,565,478,947.62/78,145.34
  6. Step 6: Final answer
    x = 58,422.92

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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.