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Finding the Fourth Proportional to 34,164.84, 47,150.70 and 21,420.02

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Solution

The fourth proportional to 34,164.84, 47,150.70 and 21,420.02 is: 29,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.84 : 47,150.70 = 21,420.02 : x
  2. Step 2: Convert to fraction form
    34,164.84/47,150.70 = 21,420.02/x
  3. Step 3: Cross multiply
    34,164.84x = 47,150.70 × 21,420.02
  4. Step 4: Simplify right side
    34,164.84x = 1,009,968,937.01
  5. Step 5: Solve for x
    x = 1,009,968,937.01/34,164.84
  6. Step 6: Final answer
    x = 29,561.65

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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.