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Finding the Fourth Proportional to 29,812.19, 44,690.48 and 10,077.02

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Solution

The fourth proportional to 29,812.19, 44,690.48 and 10,077.02 is: 15,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,812.19 : 44,690.48 = 10,077.02 : x
  2. Step 2: Convert to fraction form
    29,812.19/44,690.48 = 10,077.02/x
  3. Step 3: Cross multiply
    29,812.19x = 44,690.48 × 10,077.02
  4. Step 4: Simplify right side
    29,812.19x = 450,347,100.38
  5. Step 5: Solve for x
    x = 450,347,100.38/29,812.19
  6. Step 6: Final answer
    x = 15,106.14

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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.