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Finding the Fourth Proportional to 32,528, 44,888.67 and 17,624

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Solution

The fourth proportional to 32,528, 44,888.67 and 17,624 is: 24,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,528 : 44,888.67 = 17,624 : x
  2. Step 2: Convert to fraction form
    32,528/44,888.67 = 17,624/x
  3. Step 3: Cross multiply
    32,528x = 44,888.67 × 17,624
  4. Step 4: Simplify right side
    32,528x = 791,117,920.08
  5. Step 5: Solve for x
    x = 791,117,920.08/32,528
  6. Step 6: Final answer
    x = 24,321.14

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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.