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Finding the Fourth Proportional to 31,283.34, 46,885.65 and 22,352.16

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Solution

The fourth proportional to 31,283.34, 46,885.65 and 22,352.16 is: 33,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.34 : 46,885.65 = 22,352.16 : x
  2. Step 2: Convert to fraction form
    31,283.34/46,885.65 = 22,352.16/x
  3. Step 3: Cross multiply
    31,283.34x = 46,885.65 × 22,352.16
  4. Step 4: Simplify right side
    31,283.34x = 1,047,995,550.50
  5. Step 5: Solve for x
    x = 1,047,995,550.50/31,283.34
  6. Step 6: Final answer
    x = 33,500.12

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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.