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Finding the Fourth Proportional to 32,707, 45,135.66 and 17,803

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Solution

The fourth proportional to 32,707, 45,135.66 and 17,803 is: 24,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707 : 45,135.66 = 17,803 : x
  2. Step 2: Convert to fraction form
    32,707/45,135.66 = 17,803/x
  3. Step 3: Cross multiply
    32,707x = 45,135.66 × 17,803
  4. Step 4: Simplify right side
    32,707x = 803,550,154.98
  5. Step 5: Solve for x
    x = 803,550,154.98/32,707
  6. Step 6: Final answer
    x = 24,568.14

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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.