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Finding the Fourth Proportional to 32,698.65, 49,047.98 and 15,158.91

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Solution

The fourth proportional to 32,698.65, 49,047.98 and 15,158.91 is: 22,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698.65 : 49,047.98 = 15,158.91 : x
  2. Step 2: Convert to fraction form
    32,698.65/49,047.98 = 15,158.91/x
  3. Step 3: Cross multiply
    32,698.65x = 49,047.98 × 15,158.91
  4. Step 4: Simplify right side
    32,698.65x = 743,513,838.71
  5. Step 5: Solve for x
    x = 743,513,838.71/32,698.65
  6. Step 6: Final answer
    x = 22,738.37

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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.