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Finding the Fourth Proportional to 77,055.39, 106,322.87 and 43,053

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Solution

The fourth proportional to 77,055.39, 106,322.87 and 43,053 is: 59,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,055.39 : 106,322.87 = 43,053 : x
  2. Step 2: Convert to fraction form
    77,055.39/106,322.87 = 43,053/x
  3. Step 3: Cross multiply
    77,055.39x = 106,322.87 × 43,053
  4. Step 4: Simplify right side
    77,055.39x = 4,577,518,306.85
  5. Step 5: Solve for x
    x = 4,577,518,306.85/77,055.39
  6. Step 6: Final answer
    x = 59,405.56

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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.