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Finding the Fourth Proportional to 56,222.24, 77,582.04 and 31,071.68

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Solution

The fourth proportional to 56,222.24, 77,582.04 and 31,071.68 is: 42,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,222.24 : 77,582.04 = 31,071.68 : x
  2. Step 2: Convert to fraction form
    56,222.24/77,582.04 = 31,071.68/x
  3. Step 3: Cross multiply
    56,222.24x = 77,582.04 × 31,071.68
  4. Step 4: Simplify right side
    56,222.24x = 2,410,604,320.63
  5. Step 5: Solve for x
    x = 2,410,604,320.63/56,222.24
  6. Step 6: Final answer
    x = 42,876.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.