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Finding the Fourth Proportional to 30,148.79, 45,223.16 and 10,427.49

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Solution

The fourth proportional to 30,148.79, 45,223.16 and 10,427.49 is: 15,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148.79 : 45,223.16 = 10,427.49 : x
  2. Step 2: Convert to fraction form
    30,148.79/45,223.16 = 10,427.49/x
  3. Step 3: Cross multiply
    30,148.79x = 45,223.16 × 10,427.49
  4. Step 4: Simplify right side
    30,148.79x = 471,563,996.53
  5. Step 5: Solve for x
    x = 471,563,996.53/30,148.79
  6. Step 6: Final answer
    x = 15,641.23

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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.