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Finding the Fourth Proportional to 52,689.21, 79,064.93 and 19,432.50

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Solution

The fourth proportional to 52,689.21, 79,064.93 and 19,432.50 is: 29,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.21 : 79,064.93 = 19,432.50 : x
  2. Step 2: Convert to fraction form
    52,689.21/79,064.93 = 19,432.50/x
  3. Step 3: Cross multiply
    52,689.21x = 79,064.93 × 19,432.50
  4. Step 4: Simplify right side
    52,689.21x = 1,536,429,252.23
  5. Step 5: Solve for x
    x = 1,536,429,252.23/52,689.21
  6. Step 6: Final answer
    x = 29,160.23

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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.