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Finding the Fourth Proportional to 78,107.06, 117,133.86 and 25,503.50

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Solution

The fourth proportional to 78,107.06, 117,133.86 and 25,503.50 is: 38,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.06 : 117,133.86 = 25,503.50 : x
  2. Step 2: Convert to fraction form
    78,107.06/117,133.86 = 25,503.50/x
  3. Step 3: Cross multiply
    78,107.06x = 117,133.86 × 25,503.50
  4. Step 4: Simplify right side
    78,107.06x = 2,987,323,398.51
  5. Step 5: Solve for x
    x = 2,987,323,398.51/78,107.06
  6. Step 6: Final answer
    x = 38,246.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.