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Finding the Fourth Proportional to 78,011.64, 107,655.93 and 42,201.54

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Solution

The fourth proportional to 78,011.64, 107,655.93 and 42,201.54 is: 58,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,011.64 : 107,655.93 = 42,201.54 : x
  2. Step 2: Convert to fraction form
    78,011.64/107,655.93 = 42,201.54/x
  3. Step 3: Cross multiply
    78,011.64x = 107,655.93 × 42,201.54
  4. Step 4: Simplify right side
    78,011.64x = 4,543,246,036.13
  5. Step 5: Solve for x
    x = 4,543,246,036.13/78,011.64
  6. Step 6: Final answer
    x = 58,238.05

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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.