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Finding the Fourth Proportional to 56,406.84, 77,856.84 and 35,173.50

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Solution

The fourth proportional to 56,406.84, 77,856.84 and 35,173.50 is: 48,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406.84 : 77,856.84 = 35,173.50 : x
  2. Step 2: Convert to fraction form
    56,406.84/77,856.84 = 35,173.50/x
  3. Step 3: Cross multiply
    56,406.84x = 77,856.84 × 35,173.50
  4. Step 4: Simplify right side
    56,406.84x = 2,738,497,561.74
  5. Step 5: Solve for x
    x = 2,738,497,561.74/56,406.84
  6. Step 6: Final answer
    x = 48,549.03

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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.