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Finding the Fourth Proportional to 76,486.50, 105,551.37 and 42,952.50

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Solution

The fourth proportional to 76,486.50, 105,551.37 and 42,952.50 is: 59,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.50 : 105,551.37 = 42,952.50 : x
  2. Step 2: Convert to fraction form
    76,486.50/105,551.37 = 42,952.50/x
  3. Step 3: Cross multiply
    76,486.50x = 105,551.37 × 42,952.50
  4. Step 4: Simplify right side
    76,486.50x = 4,533,695,219.93
  5. Step 5: Solve for x
    x = 4,533,695,219.93/76,486.50
  6. Step 6: Final answer
    x = 59,274.45

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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.