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Finding the Fourth Proportional to 27,033.63, 40,550.31 and 7,312.16

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Solution

The fourth proportional to 27,033.63, 40,550.31 and 7,312.16 is: 10,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.63 : 40,550.31 = 7,312.16 : x
  2. Step 2: Convert to fraction form
    27,033.63/40,550.31 = 7,312.16/x
  3. Step 3: Cross multiply
    27,033.63x = 40,550.31 × 7,312.16
  4. Step 4: Simplify right side
    27,033.63x = 296,510,152.02
  5. Step 5: Solve for x
    x = 296,510,152.02/27,033.63
  6. Step 6: Final answer
    x = 10,968.20

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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.