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Finding the Fourth Proportional to 52,145.34, 78,155.16 and 24,026.88

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Solution

The fourth proportional to 52,145.34, 78,155.16 and 24,026.88 is: 36,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.34 : 78,155.16 = 24,026.88 : x
  2. Step 2: Convert to fraction form
    52,145.34/78,155.16 = 24,026.88/x
  3. Step 3: Cross multiply
    52,145.34x = 78,155.16 × 24,026.88
  4. Step 4: Simplify right side
    52,145.34x = 1,877,824,650.70
  5. Step 5: Solve for x
    x = 1,877,824,650.70/52,145.34
  6. Step 6: Final answer
    x = 36,011.36

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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.