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Finding the Fourth Proportional to 77,551.70, 116,233.70 and 35,374.05

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Solution

The fourth proportional to 77,551.70, 116,233.70 and 35,374.05 is: 53,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,551.70 : 116,233.70 = 35,374.05 : x
  2. Step 2: Convert to fraction form
    77,551.70/116,233.70 = 35,374.05/x
  3. Step 3: Cross multiply
    77,551.70x = 116,233.70 × 35,374.05
  4. Step 4: Simplify right side
    77,551.70x = 4,111,656,538.61
  5. Step 5: Solve for x
    x = 4,111,656,538.61/77,551.70
  6. Step 6: Final answer
    x = 53,018.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.