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Finding the Fourth Proportional to 114,045.48, 171,077.79 and 42,018

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Solution

The fourth proportional to 114,045.48, 171,077.79 and 42,018 is: 63,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,045.48 : 171,077.79 = 42,018 : x
  2. Step 2: Convert to fraction form
    114,045.48/171,077.79 = 42,018/x
  3. Step 3: Cross multiply
    114,045.48x = 171,077.79 × 42,018
  4. Step 4: Simplify right side
    114,045.48x = 7,188,346,580.22
  5. Step 5: Solve for x
    x = 7,188,346,580.22/114,045.48
  6. Step 6: Final answer
    x = 63,030.53

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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.