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Finding the Fourth Proportional to 34,154.50, 47,141.85 and 19,259.14

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Solution

The fourth proportional to 34,154.50, 47,141.85 and 19,259.14 is: 26,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.50 : 47,141.85 = 19,259.14 : x
  2. Step 2: Convert to fraction form
    34,154.50/47,141.85 = 19,259.14/x
  3. Step 3: Cross multiply
    34,154.50x = 47,141.85 × 19,259.14
  4. Step 4: Simplify right side
    34,154.50x = 907,911,489.01
  5. Step 5: Solve for x
    x = 907,911,489.01/34,154.50
  6. Step 6: Final answer
    x = 26,582.49

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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.