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Finding the Fourth Proportional to 56,355.87, 77,748.57 and 33,686.49

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Solution

The fourth proportional to 56,355.87, 77,748.57 and 33,686.49 is: 46,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,355.87 : 77,748.57 = 33,686.49 : x
  2. Step 2: Convert to fraction form
    56,355.87/77,748.57 = 33,686.49/x
  3. Step 3: Cross multiply
    56,355.87x = 77,748.57 × 33,686.49
  4. Step 4: Simplify right side
    56,355.87x = 2,619,076,425.82
  5. Step 5: Solve for x
    x = 2,619,076,425.82/56,355.87
  6. Step 6: Final answer
    x = 46,473.89

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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.