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Finding the Fourth Proportional to 76,701.60, 114,989.49 and 34,569.05

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Solution

The fourth proportional to 76,701.60, 114,989.49 and 34,569.05 is: 51,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,701.60 : 114,989.49 = 34,569.05 : x
  2. Step 2: Convert to fraction form
    76,701.60/114,989.49 = 34,569.05/x
  3. Step 3: Cross multiply
    76,701.60x = 114,989.49 × 34,569.05
  4. Step 4: Simplify right side
    76,701.60x = 3,975,076,854.34
  5. Step 5: Solve for x
    x = 3,975,076,854.34/76,701.60
  6. Step 6: Final answer
    x = 51,825.21

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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.