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Finding the Fourth Proportional to 34,307.84, 47,346.91 and 19,200.20

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Solution

The fourth proportional to 34,307.84, 47,346.91 and 19,200.20 is: 26,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,307.84 : 47,346.91 = 19,200.20 : x
  2. Step 2: Convert to fraction form
    34,307.84/47,346.91 = 19,200.20/x
  3. Step 3: Cross multiply
    34,307.84x = 47,346.91 × 19,200.20
  4. Step 4: Simplify right side
    34,307.84x = 909,069,987.83
  5. Step 5: Solve for x
    x = 909,069,987.83/34,307.84
  6. Step 6: Final answer
    x = 26,497.44

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