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Finding the Fourth Proportional to 31,256.50, 46,884.75 and 9,368.50

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Solution

The fourth proportional to 31,256.50, 46,884.75 and 9,368.50 is: 14,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,256.50 : 46,884.75 = 9,368.50 : x
  2. Step 2: Convert to fraction form
    31,256.50/46,884.75 = 9,368.50/x
  3. Step 3: Cross multiply
    31,256.50x = 46,884.75 × 9,368.50
  4. Step 4: Simplify right side
    31,256.50x = 439,239,780.38
  5. Step 5: Solve for x
    x = 439,239,780.38/31,256.50
  6. Step 6: Final answer
    x = 14,052.75

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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.