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Finding the Fourth Proportional to 102,050.14, 153,076.77 and 38,873.77

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Solution

The fourth proportional to 102,050.14, 153,076.77 and 38,873.77 is: 58,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,050.14 : 153,076.77 = 38,873.77 : x
  2. Step 2: Convert to fraction form
    102,050.14/153,076.77 = 38,873.77/x
  3. Step 3: Cross multiply
    102,050.14x = 153,076.77 × 38,873.77
  4. Step 4: Simplify right side
    102,050.14x = 5,950,671,149.32
  5. Step 5: Solve for x
    x = 5,950,671,149.32/102,050.14
  6. Step 6: Final answer
    x = 58,311.25

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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.