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Finding the Fourth Proportional to 32,492.68, 48,699.76 and 15,827.76

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Solution

The fourth proportional to 32,492.68, 48,699.76 and 15,827.76 is: 23,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.68 : 48,699.76 = 15,827.76 : x
  2. Step 2: Convert to fraction form
    32,492.68/48,699.76 = 15,827.76/x
  3. Step 3: Cross multiply
    32,492.68x = 48,699.76 × 15,827.76
  4. Step 4: Simplify right side
    32,492.68x = 770,808,113.34
  5. Step 5: Solve for x
    x = 770,808,113.34/32,492.68
  6. Step 6: Final answer
    x = 23,722.52

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Why These Related Problems?

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