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Finding the Fourth Proportional to 34,130.56, 51,202.80 and 19,346.08

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Solution

The fourth proportional to 34,130.56, 51,202.80 and 19,346.08 is: 29,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,130.56 : 51,202.80 = 19,346.08 : x
  2. Step 2: Convert to fraction form
    34,130.56/51,202.80 = 19,346.08/x
  3. Step 3: Cross multiply
    34,130.56x = 51,202.80 × 19,346.08
  4. Step 4: Simplify right side
    34,130.56x = 990,573,465.02
  5. Step 5: Solve for x
    x = 990,573,465.02/34,130.56
  6. Step 6: Final answer
    x = 29,023.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.