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Finding the Fourth Proportional to 83,707.47, 115,523.45 and 47,415.39

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Solution

The fourth proportional to 83,707.47, 115,523.45 and 47,415.39 is: 65,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,707.47 : 115,523.45 = 47,415.39 : x
  2. Step 2: Convert to fraction form
    83,707.47/115,523.45 = 47,415.39/x
  3. Step 3: Cross multiply
    83,707.47x = 115,523.45 × 47,415.39
  4. Step 4: Simplify right side
    83,707.47x = 5,477,589,071.12
  5. Step 5: Solve for x
    x = 5,477,589,071.12/83,707.47
  6. Step 6: Final answer
    x = 65,437.28

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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.