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Finding the Fourth Proportional to 48,532.98, 72,804.49 and 13,472.65

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Solution

The fourth proportional to 48,532.98, 72,804.49 and 13,472.65 is: 20,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,532.98 : 72,804.49 = 13,472.65 : x
  2. Step 2: Convert to fraction form
    48,532.98/72,804.49 = 13,472.65/x
  3. Step 3: Cross multiply
    48,532.98x = 72,804.49 × 13,472.65
  4. Step 4: Simplify right side
    48,532.98x = 980,869,196.51
  5. Step 5: Solve for x
    x = 980,869,196.51/48,532.98
  6. Step 6: Final answer
    x = 20,210.36

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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.