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Finding the Fourth Proportional to 35,344.90, 52,978.47 and 14,557.06

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Solution

The fourth proportional to 35,344.90, 52,978.47 and 14,557.06 is: 21,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344.90 : 52,978.47 = 14,557.06 : x
  2. Step 2: Convert to fraction form
    35,344.90/52,978.47 = 14,557.06/x
  3. Step 3: Cross multiply
    35,344.90x = 52,978.47 × 14,557.06
  4. Step 4: Simplify right side
    35,344.90x = 771,210,766.50
  5. Step 5: Solve for x
    x = 771,210,766.50/35,344.90
  6. Step 6: Final answer
    x = 21,819.58

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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.