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Finding the Fourth Proportional to 32,425, 44,746.50 and 17,521

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Solution

The fourth proportional to 32,425, 44,746.50 and 17,521 is: 24,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,425 : 44,746.50 = 17,521 : x
  2. Step 2: Convert to fraction form
    32,425/44,746.50 = 17,521/x
  3. Step 3: Cross multiply
    32,425x = 44,746.50 × 17,521
  4. Step 4: Simplify right side
    32,425x = 784,003,426.50
  5. Step 5: Solve for x
    x = 784,003,426.50/32,425
  6. Step 6: Final answer
    x = 24,178.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.