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Finding the Fourth Proportional to 31,210.86, 46,806.57 and 10,429.50

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Solution

The fourth proportional to 31,210.86, 46,806.57 and 10,429.50 is: 15,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.86 : 46,806.57 = 10,429.50 : x
  2. Step 2: Convert to fraction form
    31,210.86/46,806.57 = 10,429.50/x
  3. Step 3: Cross multiply
    31,210.86x = 46,806.57 × 10,429.50
  4. Step 4: Simplify right side
    31,210.86x = 488,169,121.82
  5. Step 5: Solve for x
    x = 488,169,121.82/31,210.86
  6. Step 6: Final answer
    x = 15,641.00

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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.