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Finding the Fourth Proportional to 56,501.84, 77,973 and 31,351.76

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Solution

The fourth proportional to 56,501.84, 77,973 and 31,351.76 is: 43,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,501.84 : 77,973 = 31,351.76 : x
  2. Step 2: Convert to fraction form
    56,501.84/77,973 = 31,351.76/x
  3. Step 3: Cross multiply
    56,501.84x = 77,973 × 31,351.76
  4. Step 4: Simplify right side
    56,501.84x = 2,444,590,782.48
  5. Step 5: Solve for x
    x = 2,444,590,782.48/56,501.84
  6. Step 6: Final answer
    x = 43,265.68

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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.