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Finding the Fourth Proportional to 64,151.34, 88,531.55 and 35,857

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Solution

The fourth proportional to 64,151.34, 88,531.55 and 35,857 is: 49,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,151.34 : 88,531.55 = 35,857 : x
  2. Step 2: Convert to fraction form
    64,151.34/88,531.55 = 35,857/x
  3. Step 3: Cross multiply
    64,151.34x = 88,531.55 × 35,857
  4. Step 4: Simplify right side
    64,151.34x = 3,174,475,788.35
  5. Step 5: Solve for x
    x = 3,174,475,788.35/64,151.34
  6. Step 6: Final answer
    x = 49,484.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.