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Finding the Fourth Proportional to 56,114.64, 77,403.72 and 33,438

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Solution

The fourth proportional to 56,114.64, 77,403.72 and 33,438 is: 46,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114.64 : 77,403.72 = 33,438 : x
  2. Step 2: Convert to fraction form
    56,114.64/77,403.72 = 33,438/x
  3. Step 3: Cross multiply
    56,114.64x = 77,403.72 × 33,438
  4. Step 4: Simplify right side
    56,114.64x = 2,588,225,589.36
  5. Step 5: Solve for x
    x = 2,588,225,589.36/56,114.64
  6. Step 6: Final answer
    x = 46,123.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.