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Finding the Fourth Proportional to 58,205.98, 87,334.89 and 30,497.50

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Solution

The fourth proportional to 58,205.98, 87,334.89 and 30,497.50 is: 45,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,205.98 : 87,334.89 = 30,497.50 : x
  2. Step 2: Convert to fraction form
    58,205.98/87,334.89 = 30,497.50/x
  3. Step 3: Cross multiply
    58,205.98x = 87,334.89 × 30,497.50
  4. Step 4: Simplify right side
    58,205.98x = 2,663,495,807.78
  5. Step 5: Solve for x
    x = 2,663,495,807.78/58,205.98
  6. Step 6: Final answer
    x = 45,759.83

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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.