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Finding the Fourth Proportional to 69,833.84, 96,370.07 and 38,002.77

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Solution

The fourth proportional to 69,833.84, 96,370.07 and 38,002.77 is: 52,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,833.84 : 96,370.07 = 38,002.77 : x
  2. Step 2: Convert to fraction form
    69,833.84/96,370.07 = 38,002.77/x
  3. Step 3: Cross multiply
    69,833.84x = 96,370.07 × 38,002.77
  4. Step 4: Simplify right side
    69,833.84x = 3,662,329,415.08
  5. Step 5: Solve for x
    x = 3,662,329,415.08/69,833.84
  6. Step 6: Final answer
    x = 52,443.48

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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.