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Finding the Fourth Proportional to 34,967.16, 48,252.78 and 19,859.40

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Solution

The fourth proportional to 34,967.16, 48,252.78 and 19,859.40 is: 27,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,967.16 : 48,252.78 = 19,859.40 : x
  2. Step 2: Convert to fraction form
    34,967.16/48,252.78 = 19,859.40/x
  3. Step 3: Cross multiply
    34,967.16x = 48,252.78 × 19,859.40
  4. Step 4: Simplify right side
    34,967.16x = 958,271,259.13
  5. Step 5: Solve for x
    x = 958,271,259.13/34,967.16
  6. Step 6: Final answer
    x = 27,404.89

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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.