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Finding the Fourth Proportional to 55,812.72, 77,025.84 and 31,946.88

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Solution

The fourth proportional to 55,812.72, 77,025.84 and 31,946.88 is: 44,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,812.72 : 77,025.84 = 31,946.88 : x
  2. Step 2: Convert to fraction form
    55,812.72/77,025.84 = 31,946.88/x
  3. Step 3: Cross multiply
    55,812.72x = 77,025.84 × 31,946.88
  4. Step 4: Simplify right side
    55,812.72x = 2,460,735,267.38
  5. Step 5: Solve for x
    x = 2,460,735,267.38/55,812.72
  6. Step 6: Final answer
    x = 44,089.15

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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.