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Finding the Fourth Proportional to 52,312.40, 78,467.38 and 12,869.86

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Solution

The fourth proportional to 52,312.40, 78,467.38 and 12,869.86 is: 19,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,312.40 : 78,467.38 = 12,869.86 : x
  2. Step 2: Convert to fraction form
    52,312.40/78,467.38 = 12,869.86/x
  3. Step 3: Cross multiply
    52,312.40x = 78,467.38 × 12,869.86
  4. Step 4: Simplify right side
    52,312.40x = 1,009,864,195.17
  5. Step 5: Solve for x
    x = 1,009,864,195.17/52,312.40
  6. Step 6: Final answer
    x = 19,304.49

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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.