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Finding the Fourth Proportional to 40,865.16, 61,302.54 and 14,573.64

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Solution

The fourth proportional to 40,865.16, 61,302.54 and 14,573.64 is: 21,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,865.16 : 61,302.54 = 14,573.64 : x
  2. Step 2: Convert to fraction form
    40,865.16/61,302.54 = 14,573.64/x
  3. Step 3: Cross multiply
    40,865.16x = 61,302.54 × 14,573.64
  4. Step 4: Simplify right side
    40,865.16x = 893,401,149.05
  5. Step 5: Solve for x
    x = 893,401,149.05/40,865.16
  6. Step 6: Final answer
    x = 21,862.17

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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.