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Finding the Fourth Proportional to 35,471.98, 53,215.86 and 15,484.66

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Solution

The fourth proportional to 35,471.98, 53,215.86 and 15,484.66 is: 23,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,471.98 : 53,215.86 = 15,484.66 : x
  2. Step 2: Convert to fraction form
    35,471.98/53,215.86 = 15,484.66/x
  3. Step 3: Cross multiply
    35,471.98x = 53,215.86 × 15,484.66
  4. Step 4: Simplify right side
    35,471.98x = 824,029,498.71
  5. Step 5: Solve for x
    x = 824,029,498.71/35,471.98
  6. Step 6: Final answer
    x = 23,230.43

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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.