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Finding the Fourth Proportional to 32,613, 45,006 and 17,709

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Solution

The fourth proportional to 32,613, 45,006 and 17,709 is: 24,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,613 : 45,006 = 17,709 : x
  2. Step 2: Convert to fraction form
    32,613/45,006 = 17,709/x
  3. Step 3: Cross multiply
    32,613x = 45,006 × 17,709
  4. Step 4: Simplify right side
    32,613x = 797,011,254
  5. Step 5: Solve for x
    x = 797,011,254/32,613
  6. Step 6: Final answer
    x = 24,438.45

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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.