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Finding the Fourth Proportional to 56,107.28, 84,089.96 and 24,509.00

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Solution

The fourth proportional to 56,107.28, 84,089.96 and 24,509.00 is: 36,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,107.28 : 84,089.96 = 24,509.00 : x
  2. Step 2: Convert to fraction form
    56,107.28/84,089.96 = 24,509.00/x
  3. Step 3: Cross multiply
    56,107.28x = 84,089.96 × 24,509.00
  4. Step 4: Simplify right side
    56,107.28x = 2,060,961,009.23
  5. Step 5: Solve for x
    x = 2,060,961,009.23/56,107.28
  6. Step 6: Final answer
    x = 36,732.50

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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.