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Finding the Fourth Proportional to 82,706.52, 114,135.12 and 44,980.68

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Solution

The fourth proportional to 82,706.52, 114,135.12 and 44,980.68 is: 62,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.52 : 114,135.12 = 44,980.68 : x
  2. Step 2: Convert to fraction form
    82,706.52/114,135.12 = 44,980.68/x
  3. Step 3: Cross multiply
    82,706.52x = 114,135.12 × 44,980.68
  4. Step 4: Simplify right side
    82,706.52x = 5,133,875,309.48
  5. Step 5: Solve for x
    x = 5,133,875,309.48/82,706.52
  6. Step 6: Final answer
    x = 62,073.40

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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.