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Finding the Fourth Proportional to 34,496, 47,604.80 and 19,592.32

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Solution

The fourth proportional to 34,496, 47,604.80 and 19,592.32 is: 27,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,496 : 47,604.80 = 19,592.32 : x
  2. Step 2: Convert to fraction form
    34,496/47,604.80 = 19,592.32/x
  3. Step 3: Cross multiply
    34,496x = 47,604.80 × 19,592.32
  4. Step 4: Simplify right side
    34,496x = 932,688,475.14
  5. Step 5: Solve for x
    x = 932,688,475.14/34,496
  6. Step 6: Final answer
    x = 27,037.58

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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.