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Finding the Fourth Proportional to 74,013.42, 111,036.53 and 34,549

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Solution

The fourth proportional to 74,013.42, 111,036.53 and 34,549 is: 51,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,013.42 : 111,036.53 = 34,549 : x
  2. Step 2: Convert to fraction form
    74,013.42/111,036.53 = 34,549/x
  3. Step 3: Cross multiply
    74,013.42x = 111,036.53 × 34,549
  4. Step 4: Simplify right side
    74,013.42x = 3,836,201,074.97
  5. Step 5: Solve for x
    x = 3,836,201,074.97/74,013.42
  6. Step 6: Final answer
    x = 51,831.16

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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.