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Finding the Fourth Proportional to 31,244.13, 46,866.06 and 7,870.50

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Solution

The fourth proportional to 31,244.13, 46,866.06 and 7,870.50 is: 11,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244.13 : 46,866.06 = 7,870.50 : x
  2. Step 2: Convert to fraction form
    31,244.13/46,866.06 = 7,870.50/x
  3. Step 3: Cross multiply
    31,244.13x = 46,866.06 × 7,870.50
  4. Step 4: Simplify right side
    31,244.13x = 368,859,325.23
  5. Step 5: Solve for x
    x = 368,859,325.23/31,244.13
  6. Step 6: Final answer
    x = 11,805.72

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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.