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Finding the Fourth Proportional to 34,715.64, 47,931.36 and 22,157.40

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Solution

The fourth proportional to 34,715.64, 47,931.36 and 22,157.40 is: 30,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715.64 : 47,931.36 = 22,157.40 : x
  2. Step 2: Convert to fraction form
    34,715.64/47,931.36 = 22,157.40/x
  3. Step 3: Cross multiply
    34,715.64x = 47,931.36 × 22,157.40
  4. Step 4: Simplify right side
    34,715.64x = 1,062,034,316.06
  5. Step 5: Solve for x
    x = 1,062,034,316.06/34,715.64
  6. Step 6: Final answer
    x = 30,592.39

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Why These Related Problems?

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