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Finding the Fourth Proportional to 83,040.84, 114,595.29 and 45,312.66

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Solution

The fourth proportional to 83,040.84, 114,595.29 and 45,312.66 is: 62,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,040.84 : 114,595.29 = 45,312.66 : x
  2. Step 2: Convert to fraction form
    83,040.84/114,595.29 = 45,312.66/x
  3. Step 3: Cross multiply
    83,040.84x = 114,595.29 × 45,312.66
  4. Step 4: Simplify right side
    83,040.84x = 5,192,617,413.37
  5. Step 5: Solve for x
    x = 5,192,617,413.37/83,040.84
  6. Step 6: Final answer
    x = 62,530.89

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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.