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Finding the Fourth Proportional to 34,429.68, 47,510.12 and 24,364.02

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Solution

The fourth proportional to 34,429.68, 47,510.12 and 24,364.02 is: 33,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,429.68 : 47,510.12 = 24,364.02 : x
  2. Step 2: Convert to fraction form
    34,429.68/47,510.12 = 24,364.02/x
  3. Step 3: Cross multiply
    34,429.68x = 47,510.12 × 24,364.02
  4. Step 4: Simplify right side
    34,429.68x = 1,157,537,513.88
  5. Step 5: Solve for x
    x = 1,157,537,513.88/34,429.68
  6. Step 6: Final answer
    x = 33,620.34

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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.