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Finding the Fourth Proportional to 31,007.65, 46,510.47 and 13,477.51

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Solution

The fourth proportional to 31,007.65, 46,510.47 and 13,477.51 is: 20,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.65 : 46,510.47 = 13,477.51 : x
  2. Step 2: Convert to fraction form
    31,007.65/46,510.47 = 13,477.51/x
  3. Step 3: Cross multiply
    31,007.65x = 46,510.47 × 13,477.51
  4. Step 4: Simplify right side
    31,007.65x = 626,845,324.53
  5. Step 5: Solve for x
    x = 626,845,324.53/31,007.65
  6. Step 6: Final answer
    x = 20,215.83

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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.