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Finding the Fourth Proportional to 31,649.40, 47,482.74 and 10,592.91

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Solution

The fourth proportional to 31,649.40, 47,482.74 and 10,592.91 is: 15,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.40 : 47,482.74 = 10,592.91 : x
  2. Step 2: Convert to fraction form
    31,649.40/47,482.74 = 10,592.91/x
  3. Step 3: Cross multiply
    31,649.40x = 47,482.74 × 10,592.91
  4. Step 4: Simplify right side
    31,649.40x = 502,980,391.37
  5. Step 5: Solve for x
    x = 502,980,391.37/31,649.40
  6. Step 6: Final answer
    x = 15,892.26

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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.