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Finding the Fourth Proportional to 31,001.69, 46,495.53 and 8,814.58

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Solution

The fourth proportional to 31,001.69, 46,495.53 and 8,814.58 is: 13,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.69 : 46,495.53 = 8,814.58 : x
  2. Step 2: Convert to fraction form
    31,001.69/46,495.53 = 8,814.58/x
  3. Step 3: Cross multiply
    31,001.69x = 46,495.53 × 8,814.58
  4. Step 4: Simplify right side
    31,001.69x = 409,838,568.83
  5. Step 5: Solve for x
    x = 409,838,568.83/31,001.69
  6. Step 6: Final answer
    x = 13,219.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.