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Finding the Fourth Proportional to 35,615.08, 53,402.88 and 14,569.88

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Solution

The fourth proportional to 35,615.08, 53,402.88 and 14,569.88 is: 21,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,615.08 : 53,402.88 = 14,569.88 : x
  2. Step 2: Convert to fraction form
    35,615.08/53,402.88 = 14,569.88/x
  3. Step 3: Cross multiply
    35,615.08x = 53,402.88 × 14,569.88
  4. Step 4: Simplify right side
    35,615.08x = 778,073,553.25
  5. Step 5: Solve for x
    x = 778,073,553.25/35,615.08
  6. Step 6: Final answer
    x = 21,846.74

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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.