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Finding the Fourth Proportional to 76,589.15, 105,692.04 and 42,597.50

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Solution

The fourth proportional to 76,589.15, 105,692.04 and 42,597.50 is: 58,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,589.15 : 105,692.04 = 42,597.50 : x
  2. Step 2: Convert to fraction form
    76,589.15/105,692.04 = 42,597.50/x
  3. Step 3: Cross multiply
    76,589.15x = 105,692.04 × 42,597.50
  4. Step 4: Simplify right side
    76,589.15x = 4,502,216,673.90
  5. Step 5: Solve for x
    x = 4,502,216,673.90/76,589.15
  6. Step 6: Final answer
    x = 58,784.00

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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.