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Finding the Fourth Proportional to 31,073.87, 46,595.55 and 13,302.02

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Solution

The fourth proportional to 31,073.87, 46,595.55 and 13,302.02 is: 19,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.87 : 46,595.55 = 13,302.02 : x
  2. Step 2: Convert to fraction form
    31,073.87/46,595.55 = 13,302.02/x
  3. Step 3: Cross multiply
    31,073.87x = 46,595.55 × 13,302.02
  4. Step 4: Simplify right side
    31,073.87x = 619,814,938.01
  5. Step 5: Solve for x
    x = 619,814,938.01/31,073.87
  6. Step 6: Final answer
    x = 19,946.50

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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.