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Finding the Fourth Proportional to 31,029.16, 46,536.84 and 8,842.12

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Solution

The fourth proportional to 31,029.16, 46,536.84 and 8,842.12 is: 13,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.16 : 46,536.84 = 8,842.12 : x
  2. Step 2: Convert to fraction form
    31,029.16/46,536.84 = 8,842.12/x
  3. Step 3: Cross multiply
    31,029.16x = 46,536.84 × 8,842.12
  4. Step 4: Simplify right side
    31,029.16x = 411,484,323.70
  5. Step 5: Solve for x
    x = 411,484,323.70/31,029.16
  6. Step 6: Final answer
    x = 13,261.21

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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.