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Finding the Fourth Proportional to 78,107.40, 107,788.32 and 42,297.47

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Solution

The fourth proportional to 78,107.40, 107,788.32 and 42,297.47 is: 58,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.40 : 107,788.32 = 42,297.47 : x
  2. Step 2: Convert to fraction form
    78,107.40/107,788.32 = 42,297.47/x
  3. Step 3: Cross multiply
    78,107.40x = 107,788.32 × 42,297.47
  4. Step 4: Simplify right side
    78,107.40x = 4,559,173,020.06
  5. Step 5: Solve for x
    x = 4,559,173,020.06/78,107.40
  6. Step 6: Final answer
    x = 58,370.56

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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.