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Finding the Fourth Proportional to 32,445, 44,774.10 and 17,541

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Solution

The fourth proportional to 32,445, 44,774.10 and 17,541 is: 24,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445 : 44,774.10 = 17,541 : x
  2. Step 2: Convert to fraction form
    32,445/44,774.10 = 17,541/x
  3. Step 3: Cross multiply
    32,445x = 44,774.10 × 17,541
  4. Step 4: Simplify right side
    32,445x = 785,382,488.10
  5. Step 5: Solve for x
    x = 785,382,488.10/32,445
  6. Step 6: Final answer
    x = 24,206.58

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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.