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Finding the Fourth Proportional to 35,647.30, 53,460.14 and 14,865.94

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Solution

The fourth proportional to 35,647.30, 53,460.14 and 14,865.94 is: 22,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.30 : 53,460.14 = 14,865.94 : x
  2. Step 2: Convert to fraction form
    35,647.30/53,460.14 = 14,865.94/x
  3. Step 3: Cross multiply
    35,647.30x = 53,460.14 × 14,865.94
  4. Step 4: Simplify right side
    35,647.30x = 794,735,233.63
  5. Step 5: Solve for x
    x = 794,735,233.63/35,647.30
  6. Step 6: Final answer
    x = 22,294.40

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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.