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Finding the Fourth Proportional to 32,125.70, 48,232.78 and 16,341.42

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Solution

The fourth proportional to 32,125.70, 48,232.78 and 16,341.42 is: 24,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125.70 : 48,232.78 = 16,341.42 : x
  2. Step 2: Convert to fraction form
    32,125.70/48,232.78 = 16,341.42/x
  3. Step 3: Cross multiply
    32,125.70x = 48,232.78 × 16,341.42
  4. Step 4: Simplify right side
    32,125.70x = 788,191,916.63
  5. Step 5: Solve for x
    x = 788,191,916.63/32,125.70
  6. Step 6: Final answer
    x = 24,534.62

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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.