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Finding the Fourth Proportional to 30,200.90, 45,301.34 and 9,424.40

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Solution

The fourth proportional to 30,200.90, 45,301.34 and 9,424.40 is: 14,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.90 : 45,301.34 = 9,424.40 : x
  2. Step 2: Convert to fraction form
    30,200.90/45,301.34 = 9,424.40/x
  3. Step 3: Cross multiply
    30,200.90x = 45,301.34 × 9,424.40
  4. Step 4: Simplify right side
    30,200.90x = 426,937,901.57
  5. Step 5: Solve for x
    x = 426,937,901.57/30,200.90
  6. Step 6: Final answer
    x = 14,136.60

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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.