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Finding the Fourth Proportional to 84,762.84, 116,978.22 and 48,963.72

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Solution

The fourth proportional to 84,762.84, 116,978.22 and 48,963.72 is: 67,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762.84 : 116,978.22 = 48,963.72 : x
  2. Step 2: Convert to fraction form
    84,762.84/116,978.22 = 48,963.72/x
  3. Step 3: Cross multiply
    84,762.84x = 116,978.22 × 48,963.72
  4. Step 4: Simplify right side
    84,762.84x = 5,727,688,810.18
  5. Step 5: Solve for x
    x = 5,727,688,810.18/84,762.84
  6. Step 6: Final answer
    x = 67,573.11

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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.