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Finding the Fourth Proportional to 32,711, 45,141.18 and 17,807

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Solution

The fourth proportional to 32,711, 45,141.18 and 17,807 is: 24,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711 : 45,141.18 = 17,807 : x
  2. Step 2: Convert to fraction form
    32,711/45,141.18 = 17,807/x
  3. Step 3: Cross multiply
    32,711x = 45,141.18 × 17,807
  4. Step 4: Simplify right side
    32,711x = 803,828,992.26
  5. Step 5: Solve for x
    x = 803,828,992.26/32,711
  6. Step 6: Final answer
    x = 24,573.66

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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.