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Finding the Fourth Proportional to 52,311.40, 78,465.88 and 12,868.86

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Solution

The fourth proportional to 52,311.40, 78,465.88 and 12,868.86 is: 19,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,311.40 : 78,465.88 = 12,868.86 : x
  2. Step 2: Convert to fraction form
    52,311.40/78,465.88 = 12,868.86/x
  3. Step 3: Cross multiply
    52,311.40x = 78,465.88 × 12,868.86
  4. Step 4: Simplify right side
    52,311.40x = 1,009,766,424.50
  5. Step 5: Solve for x
    x = 1,009,766,424.50/52,311.40
  6. Step 6: Final answer
    x = 19,302.99

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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.