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Finding the Fourth Proportional to 34,468.76, 47,563.52 and 19,358

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Solution

The fourth proportional to 34,468.76, 47,563.52 and 19,358 is: 26,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,468.76 : 47,563.52 = 19,358 : x
  2. Step 2: Convert to fraction form
    34,468.76/47,563.52 = 19,358/x
  3. Step 3: Cross multiply
    34,468.76x = 47,563.52 × 19,358
  4. Step 4: Simplify right side
    34,468.76x = 920,734,620.16
  5. Step 5: Solve for x
    x = 920,734,620.16/34,468.76
  6. Step 6: Final answer
    x = 26,712.15

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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.