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Finding the Fourth Proportional to 52,001.89, 78,014.50 and 16,465.34

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Solution

The fourth proportional to 52,001.89, 78,014.50 and 16,465.34 is: 24,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.89 : 78,014.50 = 16,465.34 : x
  2. Step 2: Convert to fraction form
    52,001.89/78,014.50 = 16,465.34/x
  3. Step 3: Cross multiply
    52,001.89x = 78,014.50 × 16,465.34
  4. Step 4: Simplify right side
    52,001.89x = 1,284,535,207.95
  5. Step 5: Solve for x
    x = 1,284,535,207.95/52,001.89
  6. Step 6: Final answer
    x = 24,701.70

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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.