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Finding the Fourth Proportional to 31,054.50, 46,582.11 and 7,681.14

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Solution

The fourth proportional to 31,054.50, 46,582.11 and 7,681.14 is: 11,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.50 : 46,582.11 = 7,681.14 : x
  2. Step 2: Convert to fraction form
    31,054.50/46,582.11 = 7,681.14/x
  3. Step 3: Cross multiply
    31,054.50x = 46,582.11 × 7,681.14
  4. Step 4: Simplify right side
    31,054.50x = 357,803,708.41
  5. Step 5: Solve for x
    x = 357,803,708.41/31,054.50
  6. Step 6: Final answer
    x = 11,521.80

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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.