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Finding the Fourth Proportional to 35,713.93, 53,558.47 and 14,647.99

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Solution

The fourth proportional to 35,713.93, 53,558.47 and 14,647.99 is: 21,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.93 : 53,558.47 = 14,647.99 : x
  2. Step 2: Convert to fraction form
    35,713.93/53,558.47 = 14,647.99/x
  3. Step 3: Cross multiply
    35,713.93x = 53,558.47 × 14,647.99
  4. Step 4: Simplify right side
    35,713.93x = 784,523,932.98
  5. Step 5: Solve for x
    x = 784,523,932.98/35,713.93
  6. Step 6: Final answer
    x = 21,966.89

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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.