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Finding the Fourth Proportional to 31,847.93, 47,772.02 and 9,661.50

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Solution

The fourth proportional to 31,847.93, 47,772.02 and 9,661.50 is: 14,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.93 : 47,772.02 = 9,661.50 : x
  2. Step 2: Convert to fraction form
    31,847.93/47,772.02 = 9,661.50/x
  3. Step 3: Cross multiply
    31,847.93x = 47,772.02 × 9,661.50
  4. Step 4: Simplify right side
    31,847.93x = 461,549,461.81
  5. Step 5: Solve for x
    x = 461,549,461.81/31,847.93
  6. Step 6: Final answer
    x = 14,492.29

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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.