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Finding the Fourth Proportional to 34,978.84, 48,270.78 and 19,063.28

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Solution

The fourth proportional to 34,978.84, 48,270.78 and 19,063.28 is: 26,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.84 : 48,270.78 = 19,063.28 : x
  2. Step 2: Convert to fraction form
    34,978.84/48,270.78 = 19,063.28/x
  3. Step 3: Cross multiply
    34,978.84x = 48,270.78 × 19,063.28
  4. Step 4: Simplify right side
    34,978.84x = 920,199,515.64
  5. Step 5: Solve for x
    x = 920,199,515.64/34,978.84
  6. Step 6: Final answer
    x = 26,307.32

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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.