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Finding the Fourth Proportional to 105,785.40, 145,985.34 and 58,037.88

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Solution

The fourth proportional to 105,785.40, 145,985.34 and 58,037.88 is: 80,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,785.40 : 145,985.34 = 58,037.88 : x
  2. Step 2: Convert to fraction form
    105,785.40/145,985.34 = 58,037.88/x
  3. Step 3: Cross multiply
    105,785.40x = 145,985.34 × 58,037.88
  4. Step 4: Simplify right side
    105,785.40x = 8,472,679,644.68
  5. Step 5: Solve for x
    x = 8,472,679,644.68/105,785.40
  6. Step 6: Final answer
    x = 80,093.09

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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.