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Finding the Fourth Proportional to 30,114.49, 45,177.80 and 10,393.81

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Solution

The fourth proportional to 30,114.49, 45,177.80 and 10,393.81 is: 15,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.49 : 45,177.80 = 10,393.81 : x
  2. Step 2: Convert to fraction form
    30,114.49/45,177.80 = 10,393.81/x
  3. Step 3: Cross multiply
    30,114.49x = 45,177.80 × 10,393.81
  4. Step 4: Simplify right side
    30,114.49x = 469,569,417.45
  5. Step 5: Solve for x
    x = 469,569,417.45/30,114.49
  6. Step 6: Final answer
    x = 15,592.81

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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.