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Finding the Fourth Proportional to 32,646, 45,051.48 and 17,742

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Solution

The fourth proportional to 32,646, 45,051.48 and 17,742 is: 24,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646 : 45,051.48 = 17,742 : x
  2. Step 2: Convert to fraction form
    32,646/45,051.48 = 17,742/x
  3. Step 3: Cross multiply
    32,646x = 45,051.48 × 17,742
  4. Step 4: Simplify right side
    32,646x = 799,303,358.16
  5. Step 5: Solve for x
    x = 799,303,358.16/32,646
  6. Step 6: Final answer
    x = 24,483.96

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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.