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Finding the Fourth Proportional to 84,706.90, 116,875.90 and 50,702.46

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Solution

The fourth proportional to 84,706.90, 116,875.90 and 50,702.46 is: 69,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,706.90 : 116,875.90 = 50,702.46 : x
  2. Step 2: Convert to fraction form
    84,706.90/116,875.90 = 50,702.46/x
  3. Step 3: Cross multiply
    84,706.90x = 116,875.90 × 50,702.46
  4. Step 4: Simplify right side
    84,706.90x = 5,925,894,984.61
  5. Step 5: Solve for x
    x = 5,925,894,984.61/84,706.90
  6. Step 6: Final answer
    x = 69,957.64

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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.