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Finding the Fourth Proportional to 31,033.74, 46,543.05 and 8,849.10

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Solution

The fourth proportional to 31,033.74, 46,543.05 and 8,849.10 is: 13,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.74 : 46,543.05 = 8,849.10 : x
  2. Step 2: Convert to fraction form
    31,033.74/46,543.05 = 8,849.10/x
  3. Step 3: Cross multiply
    31,033.74x = 46,543.05 × 8,849.10
  4. Step 4: Simplify right side
    31,033.74x = 411,864,103.76
  5. Step 5: Solve for x
    x = 411,864,103.76/31,033.74
  6. Step 6: Final answer
    x = 13,271.49

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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.