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Finding the Fourth Proportional to 32,610, 45,001.80 and 17,706

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Solution

The fourth proportional to 32,610, 45,001.80 and 17,706 is: 24,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,610 : 45,001.80 = 17,706 : x
  2. Step 2: Convert to fraction form
    32,610/45,001.80 = 17,706/x
  3. Step 3: Cross multiply
    32,610x = 45,001.80 × 17,706
  4. Step 4: Simplify right side
    32,610x = 796,801,870.80
  5. Step 5: Solve for x
    x = 796,801,870.80/32,610
  6. Step 6: Final answer
    x = 24,434.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.