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Finding the Fourth Proportional to 36,123.60, 54,148.95 and 16,416.30

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Solution

The fourth proportional to 36,123.60, 54,148.95 and 16,416.30 is: 24,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,123.60 : 54,148.95 = 16,416.30 : x
  2. Step 2: Convert to fraction form
    36,123.60/54,148.95 = 16,416.30/x
  3. Step 3: Cross multiply
    36,123.60x = 54,148.95 × 16,416.30
  4. Step 4: Simplify right side
    36,123.60x = 888,925,407.89
  5. Step 5: Solve for x
    x = 888,925,407.89/36,123.60
  6. Step 6: Final answer
    x = 24,607.89

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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.