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Finding the Fourth Proportional to 76,433.50, 105,488.22 and 42,899.50

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Solution

The fourth proportional to 76,433.50, 105,488.22 and 42,899.50 is: 59,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,433.50 : 105,488.22 = 42,899.50 : x
  2. Step 2: Convert to fraction form
    76,433.50/105,488.22 = 42,899.50/x
  3. Step 3: Cross multiply
    76,433.50x = 105,488.22 × 42,899.50
  4. Step 4: Simplify right side
    76,433.50x = 4,525,391,893.89
  5. Step 5: Solve for x
    x = 4,525,391,893.89/76,433.50
  6. Step 6: Final answer
    x = 59,206.92

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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.