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Finding the Fourth Proportional to 31,001.19, 46,494.78 and 8,814.08

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Solution

The fourth proportional to 31,001.19, 46,494.78 and 8,814.08 is: 13,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.19 : 46,494.78 = 8,814.08 : x
  2. Step 2: Convert to fraction form
    31,001.19/46,494.78 = 8,814.08/x
  3. Step 3: Cross multiply
    31,001.19x = 46,494.78 × 8,814.08
  4. Step 4: Simplify right side
    31,001.19x = 409,808,710.50
  5. Step 5: Solve for x
    x = 409,808,710.50/31,001.19
  6. Step 6: Final answer
    x = 13,219.13

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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.