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Finding the Fourth Proportional to 82,957.28, 124,389.76 and 49,237

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Solution

The fourth proportional to 82,957.28, 124,389.76 and 49,237 is: 73,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.28 : 124,389.76 = 49,237 : x
  2. Step 2: Convert to fraction form
    82,957.28/124,389.76 = 49,237/x
  3. Step 3: Cross multiply
    82,957.28x = 124,389.76 × 49,237
  4. Step 4: Simplify right side
    82,957.28x = 6,124,578,613.12
  5. Step 5: Solve for x
    x = 6,124,578,613.12/82,957.28
  6. Step 6: Final answer
    x = 73,828.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.