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Finding the Fourth Proportional to 34,098.34, 47,055.04 and 23,342.94

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Solution

The fourth proportional to 34,098.34, 47,055.04 and 23,342.94 is: 32,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.34 : 47,055.04 = 23,342.94 : x
  2. Step 2: Convert to fraction form
    34,098.34/47,055.04 = 23,342.94/x
  3. Step 3: Cross multiply
    34,098.34x = 47,055.04 × 23,342.94
  4. Step 4: Simplify right side
    34,098.34x = 1,098,402,975.42
  5. Step 5: Solve for x
    x = 1,098,402,975.42/34,098.34
  6. Step 6: Final answer
    x = 32,212.80

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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.