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Finding the Fourth Proportional to 31,362.32, 47,043.07 and 7,670.07

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Solution

The fourth proportional to 31,362.32, 47,043.07 and 7,670.07 is: 11,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.32 : 47,043.07 = 7,670.07 : x
  2. Step 2: Convert to fraction form
    31,362.32/47,043.07 = 7,670.07/x
  3. Step 3: Cross multiply
    31,362.32x = 47,043.07 × 7,670.07
  4. Step 4: Simplify right side
    31,362.32x = 360,823,568.25
  5. Step 5: Solve for x
    x = 360,823,568.25/31,362.32
  6. Step 6: Final answer
    x = 11,505.00

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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.