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Finding the Fourth Proportional to 56,392.16, 77,644.04 and 47,876.49

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Solution

The fourth proportional to 56,392.16, 77,644.04 and 47,876.49 is: 65,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,392.16 : 77,644.04 = 47,876.49 : x
  2. Step 2: Convert to fraction form
    56,392.16/77,644.04 = 47,876.49/x
  3. Step 3: Cross multiply
    56,392.16x = 77,644.04 × 47,876.49
  4. Step 4: Simplify right side
    56,392.16x = 3,717,323,865.24
  5. Step 5: Solve for x
    x = 3,717,323,865.24/56,392.16
  6. Step 6: Final answer
    x = 65,919.17

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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.