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Finding the Fourth Proportional to 83,277.92, 114,941.43 and 53,056.01

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Solution

The fourth proportional to 83,277.92, 114,941.43 and 53,056.01 is: 73,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,277.92 : 114,941.43 = 53,056.01 : x
  2. Step 2: Convert to fraction form
    83,277.92/114,941.43 = 53,056.01/x
  3. Step 3: Cross multiply
    83,277.92x = 114,941.43 × 53,056.01
  4. Step 4: Simplify right side
    83,277.92x = 6,098,333,946.85
  5. Step 5: Solve for x
    x = 6,098,333,946.85/83,277.92
  6. Step 6: Final answer
    x = 73,228.70

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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.