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Finding the Fourth Proportional to 56,409.84, 77,846.04 and 31,259.76

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Solution

The fourth proportional to 56,409.84, 77,846.04 and 31,259.76 is: 43,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,409.84 : 77,846.04 = 31,259.76 : x
  2. Step 2: Convert to fraction form
    56,409.84/77,846.04 = 31,259.76/x
  3. Step 3: Cross multiply
    56,409.84x = 77,846.04 × 31,259.76
  4. Step 4: Simplify right side
    56,409.84x = 2,433,448,527.35
  5. Step 5: Solve for x
    x = 2,433,448,527.35/56,409.84
  6. Step 6: Final answer
    x = 43,138.72

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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.