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Finding the Fourth Proportional to 31,602.72, 47,412.48 and 9,416.16

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Solution

The fourth proportional to 31,602.72, 47,412.48 and 9,416.16 is: 14,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.72 : 47,412.48 = 9,416.16 : x
  2. Step 2: Convert to fraction form
    31,602.72/47,412.48 = 9,416.16/x
  3. Step 3: Cross multiply
    31,602.72x = 47,412.48 × 9,416.16
  4. Step 4: Simplify right side
    31,602.72x = 446,443,497.68
  5. Step 5: Solve for x
    x = 446,443,497.68/31,602.72
  6. Step 6: Final answer
    x = 14,126.74

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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.