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Finding the Fourth Proportional to 83,235.39, 114,865.23 and 45,509.64

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Solution

The fourth proportional to 83,235.39, 114,865.23 and 45,509.64 is: 62,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235.39 : 114,865.23 = 45,509.64 : x
  2. Step 2: Convert to fraction form
    83,235.39/114,865.23 = 45,509.64/x
  3. Step 3: Cross multiply
    83,235.39x = 114,865.23 × 45,509.64
  4. Step 4: Simplify right side
    83,235.39x = 5,227,475,265.82
  5. Step 5: Solve for x
    x = 5,227,475,265.82/83,235.39
  6. Step 6: Final answer
    x = 62,803.52

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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.