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Finding the Fourth Proportional to 37,865.16, 56,797.74 and 23,985

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Solution

The fourth proportional to 37,865.16, 56,797.74 and 23,985 is: 35,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,865.16 : 56,797.74 = 23,985 : x
  2. Step 2: Convert to fraction form
    37,865.16/56,797.74 = 23,985/x
  3. Step 3: Cross multiply
    37,865.16x = 56,797.74 × 23,985
  4. Step 4: Simplify right side
    37,865.16x = 1,362,293,793.90
  5. Step 5: Solve for x
    x = 1,362,293,793.90/37,865.16
  6. Step 6: Final answer
    x = 35,977.50

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1.5x scale

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.