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Finding the Fourth Proportional to 30,176.40, 45,265.18 and 10,455.60

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Solution

The fourth proportional to 30,176.40, 45,265.18 and 10,455.60 is: 15,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.40 : 45,265.18 = 10,455.60 : x
  2. Step 2: Convert to fraction form
    30,176.40/45,265.18 = 10,455.60/x
  3. Step 3: Cross multiply
    30,176.40x = 45,265.18 × 10,455.60
  4. Step 4: Simplify right side
    30,176.40x = 473,274,616.01
  5. Step 5: Solve for x
    x = 473,274,616.01/30,176.40
  6. Step 6: Final answer
    x = 15,683.60

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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.