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Finding the Fourth Proportional to 32,559, 44,931.44 and 17,655

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Solution

The fourth proportional to 32,559, 44,931.44 and 17,655 is: 24,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559 : 44,931.44 = 17,655 : x
  2. Step 2: Convert to fraction form
    32,559/44,931.44 = 17,655/x
  3. Step 3: Cross multiply
    32,559x = 44,931.44 × 17,655
  4. Step 4: Simplify right side
    32,559x = 793,264,573.20
  5. Step 5: Solve for x
    x = 793,264,573.20/32,559
  6. Step 6: Final answer
    x = 24,363.91

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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.