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Finding the Fourth Proportional to 37,005, 55,510.40 and 13,315.64

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Solution

The fourth proportional to 37,005, 55,510.40 and 13,315.64 is: 19,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,005 : 55,510.40 = 13,315.64 : x
  2. Step 2: Convert to fraction form
    37,005/55,510.40 = 13,315.64/x
  3. Step 3: Cross multiply
    37,005x = 55,510.40 × 13,315.64
  4. Step 4: Simplify right side
    37,005x = 739,156,502.66
  5. Step 5: Solve for x
    x = 739,156,502.66/37,005
  6. Step 6: Final answer
    x = 19,974.50

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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.