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Finding the Fourth Proportional to 30,838.01, 46,223.33 and 15,824.12

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Solution

The fourth proportional to 30,838.01, 46,223.33 and 15,824.12 is: 23,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.01 : 46,223.33 = 15,824.12 : x
  2. Step 2: Convert to fraction form
    30,838.01/46,223.33 = 15,824.12/x
  3. Step 3: Cross multiply
    30,838.01x = 46,223.33 × 15,824.12
  4. Step 4: Simplify right side
    30,838.01x = 731,443,210.48
  5. Step 5: Solve for x
    x = 731,443,210.48/30,838.01
  6. Step 6: Final answer
    x = 23,718.89

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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.