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Finding the Fourth Proportional to 78,051.36, 107,710.24 and 42,240.64

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Solution

The fourth proportional to 78,051.36, 107,710.24 and 42,240.64 is: 58,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051.36 : 107,710.24 = 42,240.64 : x
  2. Step 2: Convert to fraction form
    78,051.36/107,710.24 = 42,240.64/x
  3. Step 3: Cross multiply
    78,051.36x = 107,710.24 × 42,240.64
  4. Step 4: Simplify right side
    78,051.36x = 4,549,749,472.15
  5. Step 5: Solve for x
    x = 4,549,749,472.15/78,051.36
  6. Step 6: Final answer
    x = 58,291.74

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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.