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Finding the Fourth Proportional to 30,194.10, 45,291.02 and 25,710.02

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Solution

The fourth proportional to 30,194.10, 45,291.02 and 25,710.02 is: 38,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.10 : 45,291.02 = 25,710.02 : x
  2. Step 2: Convert to fraction form
    30,194.10/45,291.02 = 25,710.02/x
  3. Step 3: Cross multiply
    30,194.10x = 45,291.02 × 25,710.02
  4. Step 4: Simplify right side
    30,194.10x = 1,164,432,675.02
  5. Step 5: Solve for x
    x = 1,164,432,675.02/30,194.10
  6. Step 6: Final answer
    x = 38,564.91

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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.