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Finding the Fourth Proportional to 31,007.12, 46,510.70 and 9,119.12

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Solution

The fourth proportional to 31,007.12, 46,510.70 and 9,119.12 is: 13,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.12 : 46,510.70 = 9,119.12 : x
  2. Step 2: Convert to fraction form
    31,007.12/46,510.70 = 9,119.12/x
  3. Step 3: Cross multiply
    31,007.12x = 46,510.70 × 9,119.12
  4. Step 4: Simplify right side
    31,007.12x = 424,136,654.58
  5. Step 5: Solve for x
    x = 424,136,654.58/31,007.12
  6. Step 6: Final answer
    x = 13,678.69

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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.