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Finding the Fourth Proportional to 32,585.80, 48,869.10 and 12,857.80

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Solution

The fourth proportional to 32,585.80, 48,869.10 and 12,857.80 is: 19,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.80 : 48,869.10 = 12,857.80 : x
  2. Step 2: Convert to fraction form
    32,585.80/48,869.10 = 12,857.80/x
  3. Step 3: Cross multiply
    32,585.80x = 48,869.10 × 12,857.80
  4. Step 4: Simplify right side
    32,585.80x = 628,349,113.98
  5. Step 5: Solve for x
    x = 628,349,113.98/32,585.80
  6. Step 6: Final answer
    x = 19,282.91

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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.