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Finding the Fourth Proportional to 56,500.32, 77,970.36 and 31,006.84

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Solution

The fourth proportional to 56,500.32, 77,970.36 and 31,006.84 is: 42,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,500.32 : 77,970.36 = 31,006.84 : x
  2. Step 2: Convert to fraction form
    56,500.32/77,970.36 = 31,006.84/x
  3. Step 3: Cross multiply
    56,500.32x = 77,970.36 × 31,006.84
  4. Step 4: Simplify right side
    56,500.32x = 2,417,614,477.26
  5. Step 5: Solve for x
    x = 2,417,614,477.26/56,500.32
  6. Step 6: Final answer
    x = 42,789.39

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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.