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Finding the Fourth Proportional to 35,842.32, 49,463.66 and 19,710.86

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Solution

The fourth proportional to 35,842.32, 49,463.66 and 19,710.86 is: 27,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.32 : 49,463.66 = 19,710.86 : x
  2. Step 2: Convert to fraction form
    35,842.32/49,463.66 = 19,710.86/x
  3. Step 3: Cross multiply
    35,842.32x = 49,463.66 × 19,710.86
  4. Step 4: Simplify right side
    35,842.32x = 974,971,079.31
  5. Step 5: Solve for x
    x = 974,971,079.31/35,842.32
  6. Step 6: Final answer
    x = 27,201.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.