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Finding the Fourth Proportional to 37,995, 56,966.16 and 16,923.87

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Solution

The fourth proportional to 37,995, 56,966.16 and 16,923.87 is: 25,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,995 : 56,966.16 = 16,923.87 : x
  2. Step 2: Convert to fraction form
    37,995/56,966.16 = 16,923.87/x
  3. Step 3: Cross multiply
    37,995x = 56,966.16 × 16,923.87
  4. Step 4: Simplify right side
    37,995x = 964,087,886.24
  5. Step 5: Solve for x
    x = 964,087,886.24/37,995
  6. Step 6: Final answer
    x = 25,374.07

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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.