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Finding the Fourth Proportional to 31,208.40, 46,816.54 and 12,230.64

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Solution

The fourth proportional to 31,208.40, 46,816.54 and 12,230.64 is: 18,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.40 : 46,816.54 = 12,230.64 : x
  2. Step 2: Convert to fraction form
    31,208.40/46,816.54 = 12,230.64/x
  3. Step 3: Cross multiply
    31,208.40x = 46,816.54 × 12,230.64
  4. Step 4: Simplify right side
    31,208.40x = 572,596,246.79
  5. Step 5: Solve for x
    x = 572,596,246.79/31,208.40
  6. Step 6: Final answer
    x = 18,347.50

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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.