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Finding the Fourth Proportional to 52,062.24, 78,093.62 and 16,038.28

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Solution

The fourth proportional to 52,062.24, 78,093.62 and 16,038.28 is: 24,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062.24 : 78,093.62 = 16,038.28 : x
  2. Step 2: Convert to fraction form
    52,062.24/78,093.62 = 16,038.28/x
  3. Step 3: Cross multiply
    52,062.24x = 78,093.62 × 16,038.28
  4. Step 4: Simplify right side
    52,062.24x = 1,252,487,343.77
  5. Step 5: Solve for x
    x = 1,252,487,343.77/52,062.24
  6. Step 6: Final answer
    x = 24,057.50

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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.