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Finding the Fourth Proportional to 32,707.80, 49,083.17 and 17,927.06

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Solution

The fourth proportional to 32,707.80, 49,083.17 and 17,927.06 is: 26,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707.80 : 49,083.17 = 17,927.06 : x
  2. Step 2: Convert to fraction form
    32,707.80/49,083.17 = 17,927.06/x
  3. Step 3: Cross multiply
    32,707.80x = 49,083.17 × 17,927.06
  4. Step 4: Simplify right side
    32,707.80x = 879,916,598.53
  5. Step 5: Solve for x
    x = 879,916,598.53/32,707.80
  6. Step 6: Final answer
    x = 26,902.35

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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.