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Finding the Fourth Proportional to 30,130.68, 45,195.78 and 9,070.62

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Solution

The fourth proportional to 30,130.68, 45,195.78 and 9,070.62 is: 13,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,130.68 : 45,195.78 = 9,070.62 : x
  2. Step 2: Convert to fraction form
    30,130.68/45,195.78 = 9,070.62/x
  3. Step 3: Cross multiply
    30,130.68x = 45,195.78 × 9,070.62
  4. Step 4: Simplify right side
    30,130.68x = 409,953,745.98
  5. Step 5: Solve for x
    x = 409,953,745.98/30,130.68
  6. Step 6: Final answer
    x = 13,605.86

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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.