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Finding the Fourth Proportional to 31,497.92, 47,246.74 and 21,607.16

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Solution

The fourth proportional to 31,497.92, 47,246.74 and 21,607.16 is: 32,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.92 : 47,246.74 = 21,607.16 : x
  2. Step 2: Convert to fraction form
    31,497.92/47,246.74 = 21,607.16/x
  3. Step 3: Cross multiply
    31,497.92x = 47,246.74 × 21,607.16
  4. Step 4: Simplify right side
    31,497.92x = 1,020,867,870.66
  5. Step 5: Solve for x
    x = 1,020,867,870.66/31,497.92
  6. Step 6: Final answer
    x = 32,410.64

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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.