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Finding the Fourth Proportional to 31,211.86, 46,808.07 and 10,430.50

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Solution

The fourth proportional to 31,211.86, 46,808.07 and 10,430.50 is: 15,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.86 : 46,808.07 = 10,430.50 : x
  2. Step 2: Convert to fraction form
    31,211.86/46,808.07 = 10,430.50/x
  3. Step 3: Cross multiply
    31,211.86x = 46,808.07 × 10,430.50
  4. Step 4: Simplify right side
    31,211.86x = 488,231,574.14
  5. Step 5: Solve for x
    x = 488,231,574.14/31,211.86
  6. Step 6: Final answer
    x = 15,642.50

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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.