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Finding the Fourth Proportional to 56,105.99, 77,419.32 and 34,313.22

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Solution

The fourth proportional to 56,105.99, 77,419.32 and 34,313.22 is: 47,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,105.99 : 77,419.32 = 34,313.22 : x
  2. Step 2: Convert to fraction form
    56,105.99/77,419.32 = 34,313.22/x
  3. Step 3: Cross multiply
    56,105.99x = 77,419.32 × 34,313.22
  4. Step 4: Simplify right side
    56,105.99x = 2,656,506,127.24
  5. Step 5: Solve for x
    x = 2,656,506,127.24/56,105.99
  6. Step 6: Final answer
    x = 47,347.99

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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.