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Finding the Fourth Proportional to 78,607.68, 117,916.14 and 22,443.48

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Solution

The fourth proportional to 78,607.68, 117,916.14 and 22,443.48 is: 33,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,607.68 : 117,916.14 = 22,443.48 : x
  2. Step 2: Convert to fraction form
    78,607.68/117,916.14 = 22,443.48/x
  3. Step 3: Cross multiply
    78,607.68x = 117,916.14 × 22,443.48
  4. Step 4: Simplify right side
    78,607.68x = 2,646,448,529.77
  5. Step 5: Solve for x
    x = 2,646,448,529.77/78,607.68
  6. Step 6: Final answer
    x = 33,666.54

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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.