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Finding the Fourth Proportional to 34,006.48, 46,926.92 and 19,102.16

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Solution

The fourth proportional to 34,006.48, 46,926.92 and 19,102.16 is: 26,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006.48 : 46,926.92 = 19,102.16 : x
  2. Step 2: Convert to fraction form
    34,006.48/46,926.92 = 19,102.16/x
  3. Step 3: Cross multiply
    34,006.48x = 46,926.92 × 19,102.16
  4. Step 4: Simplify right side
    34,006.48x = 896,405,534.15
  5. Step 5: Solve for x
    x = 896,405,534.15/34,006.48
  6. Step 6: Final answer
    x = 26,359.84

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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.