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Finding the Fourth Proportional to 78,423.84, 117,569.64 and 34,017.16

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Solution

The fourth proportional to 78,423.84, 117,569.64 and 34,017.16 is: 50,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,423.84 : 117,569.64 = 34,017.16 : x
  2. Step 2: Convert to fraction form
    78,423.84/117,569.64 = 34,017.16/x
  3. Step 3: Cross multiply
    78,423.84x = 117,569.64 × 34,017.16
  4. Step 4: Simplify right side
    78,423.84x = 3,999,385,255.02
  5. Step 5: Solve for x
    x = 3,999,385,255.02/78,423.84
  6. Step 6: Final answer
    x = 50,997.06

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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.