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Finding the Fourth Proportional to 82,746.40, 124,124.40 and 23,586.40

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Solution

The fourth proportional to 82,746.40, 124,124.40 and 23,586.40 is: 35,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,746.40 : 124,124.40 = 23,586.40 : x
  2. Step 2: Convert to fraction form
    82,746.40/124,124.40 = 23,586.40/x
  3. Step 3: Cross multiply
    82,746.40x = 124,124.40 × 23,586.40
  4. Step 4: Simplify right side
    82,746.40x = 2,927,647,748.16
  5. Step 5: Solve for x
    x = 2,927,647,748.16/82,746.40
  6. Step 6: Final answer
    x = 35,380.97

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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.