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Finding the Fourth Proportional to 32,708, 45,137.04 and 17,804

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Solution

The fourth proportional to 32,708, 45,137.04 and 17,804 is: 24,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708 : 45,137.04 = 17,804 : x
  2. Step 2: Convert to fraction form
    32,708/45,137.04 = 17,804/x
  3. Step 3: Cross multiply
    32,708x = 45,137.04 × 17,804
  4. Step 4: Simplify right side
    32,708x = 803,619,860.16
  5. Step 5: Solve for x
    x = 803,619,860.16/32,708
  6. Step 6: Final answer
    x = 24,569.52

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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.