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Finding the Fourth Proportional to 34,088.46, 47,056.59 and 22,916.94

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Solution

The fourth proportional to 34,088.46, 47,056.59 and 22,916.94 is: 31,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,088.46 : 47,056.59 = 22,916.94 : x
  2. Step 2: Convert to fraction form
    34,088.46/47,056.59 = 22,916.94/x
  3. Step 3: Cross multiply
    34,088.46x = 47,056.59 × 22,916.94
  4. Step 4: Simplify right side
    34,088.46x = 1,078,393,049.63
  5. Step 5: Solve for x
    x = 1,078,393,049.63/34,088.46
  6. Step 6: Final answer
    x = 31,635.14

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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.