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Finding the Fourth Proportional to 76,501.68, 114,708.38 and 29,699.88

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Solution

The fourth proportional to 76,501.68, 114,708.38 and 29,699.88 is: 44,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,501.68 : 114,708.38 = 29,699.88 : x
  2. Step 2: Convert to fraction form
    76,501.68/114,708.38 = 29,699.88/x
  3. Step 3: Cross multiply
    76,501.68x = 114,708.38 × 29,699.88
  4. Step 4: Simplify right side
    76,501.68x = 3,406,824,972.50
  5. Step 5: Solve for x
    x = 3,406,824,972.50/76,501.68
  6. Step 6: Final answer
    x = 44,532.68

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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.