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Finding the Fourth Proportional to 113,664, 170,498.88 and 39,792

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Solution

The fourth proportional to 113,664, 170,498.88 and 39,792 is: 59,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,664 : 170,498.88 = 39,792 : x
  2. Step 2: Convert to fraction form
    113,664/170,498.88 = 39,792/x
  3. Step 3: Cross multiply
    113,664x = 170,498.88 × 39,792
  4. Step 4: Simplify right side
    113,664x = 6,784,491,432.96
  5. Step 5: Solve for x
    x = 6,784,491,432.96/113,664
  6. Step 6: Final answer
    x = 59,689.01

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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.