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Finding the Fourth Proportional to 61,695.84, 85,140 and 34,838.04

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Solution

The fourth proportional to 61,695.84, 85,140 and 34,838.04 is: 48,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,695.84 : 85,140 = 34,838.04 : x
  2. Step 2: Convert to fraction form
    61,695.84/85,140 = 34,838.04/x
  3. Step 3: Cross multiply
    61,695.84x = 85,140 × 34,838.04
  4. Step 4: Simplify right side
    61,695.84x = 2,966,110,725.60
  5. Step 5: Solve for x
    x = 2,966,110,725.60/61,695.84
  6. Step 6: Final answer
    x = 48,076.35

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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.