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Finding the Fourth Proportional to 83,084.76, 114,666.83 and 46,787.38

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Solution

The fourth proportional to 83,084.76, 114,666.83 and 46,787.38 is: 64,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,084.76 : 114,666.83 = 46,787.38 : x
  2. Step 2: Convert to fraction form
    83,084.76/114,666.83 = 46,787.38/x
  3. Step 3: Cross multiply
    83,084.76x = 114,666.83 × 46,787.38
  4. Step 4: Simplify right side
    83,084.76x = 5,364,960,548.61
  5. Step 5: Solve for x
    x = 5,364,960,548.61/83,084.76
  6. Step 6: Final answer
    x = 64,572.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.