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Finding the Fourth Proportional to 37,360.16, 56,040.24 and 9,656

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Solution

The fourth proportional to 37,360.16, 56,040.24 and 9,656 is: 14,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,360.16 : 56,040.24 = 9,656 : x
  2. Step 2: Convert to fraction form
    37,360.16/56,040.24 = 9,656/x
  3. Step 3: Cross multiply
    37,360.16x = 56,040.24 × 9,656
  4. Step 4: Simplify right side
    37,360.16x = 541,124,557.44
  5. Step 5: Solve for x
    x = 541,124,557.44/37,360.16
  6. Step 6: Final answer
    x = 14,484.00

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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.