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Finding the Fourth Proportional to 31,184.52, 46,806.35 and 19,302.35

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Solution

The fourth proportional to 31,184.52, 46,806.35 and 19,302.35 is: 28,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.52 : 46,806.35 = 19,302.35 : x
  2. Step 2: Convert to fraction form
    31,184.52/46,806.35 = 19,302.35/x
  3. Step 3: Cross multiply
    31,184.52x = 46,806.35 × 19,302.35
  4. Step 4: Simplify right side
    31,184.52x = 903,472,432.91
  5. Step 5: Solve for x
    x = 903,472,432.91/31,184.52
  6. Step 6: Final answer
    x = 28,971.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.