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Finding the Fourth Proportional to 78,078.06, 107,746.82 and 42,267.29

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Solution

The fourth proportional to 78,078.06, 107,746.82 and 42,267.29 is: 58,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.06 : 107,746.82 = 42,267.29 : x
  2. Step 2: Convert to fraction form
    78,078.06/107,746.82 = 42,267.29/x
  3. Step 3: Cross multiply
    78,078.06x = 107,746.82 × 42,267.29
  4. Step 4: Simplify right side
    78,078.06x = 4,554,165,337.45
  5. Step 5: Solve for x
    x = 4,554,165,337.45/78,078.06
  6. Step 6: Final answer
    x = 58,328.36

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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.