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Finding the Fourth Proportional to 32,328.34, 48,492.33 and 8,312.61

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Solution

The fourth proportional to 32,328.34, 48,492.33 and 8,312.61 is: 12,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,328.34 : 48,492.33 = 8,312.61 : x
  2. Step 2: Convert to fraction form
    32,328.34/48,492.33 = 8,312.61/x
  3. Step 3: Cross multiply
    32,328.34x = 48,492.33 × 8,312.61
  4. Step 4: Simplify right side
    32,328.34x = 403,097,827.28
  5. Step 5: Solve for x
    x = 403,097,827.28/32,328.34
  6. Step 6: Final answer
    x = 12,468.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.