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Finding the Fourth Proportional to 35,727.74, 53,587.82 and 14,670

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Solution

The fourth proportional to 35,727.74, 53,587.82 and 14,670 is: 22,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.74 : 53,587.82 = 14,670 : x
  2. Step 2: Convert to fraction form
    35,727.74/53,587.82 = 14,670/x
  3. Step 3: Cross multiply
    35,727.74x = 53,587.82 × 14,670
  4. Step 4: Simplify right side
    35,727.74x = 786,133,319.40
  5. Step 5: Solve for x
    x = 786,133,319.40/35,727.74
  6. Step 6: Final answer
    x = 22,003.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.