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Finding the Fourth Proportional to 78,051, 117,072.39 and 21,895.02

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Solution

The fourth proportional to 78,051, 117,072.39 and 21,895.02 is: 32,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051 : 117,072.39 = 21,895.02 : x
  2. Step 2: Convert to fraction form
    78,051/117,072.39 = 21,895.02/x
  3. Step 3: Cross multiply
    78,051x = 117,072.39 × 21,895.02
  4. Step 4: Simplify right side
    78,051x = 2,563,302,320.50
  5. Step 5: Solve for x
    x = 2,563,302,320.50/78,051
  6. Step 6: Final answer
    x = 32,841.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.