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Finding the Fourth Proportional to 56,498.50, 77,970.36 and 31,348

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Solution

The fourth proportional to 56,498.50, 77,970.36 and 31,348 is: 43,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498.50 : 77,970.36 = 31,348 : x
  2. Step 2: Convert to fraction form
    56,498.50/77,970.36 = 31,348/x
  3. Step 3: Cross multiply
    56,498.50x = 77,970.36 × 31,348
  4. Step 4: Simplify right side
    56,498.50x = 2,444,214,845.28
  5. Step 5: Solve for x
    x = 2,444,214,845.28/56,498.50
  6. Step 6: Final answer
    x = 43,261.59

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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.