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Finding the Fourth Proportional to 53,478.84, 73,816.80 and 34,617.24

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Solution

The fourth proportional to 53,478.84, 73,816.80 and 34,617.24 is: 47,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478.84 : 73,816.80 = 34,617.24 : x
  2. Step 2: Convert to fraction form
    53,478.84/73,816.80 = 34,617.24/x
  3. Step 3: Cross multiply
    53,478.84x = 73,816.80 × 34,617.24
  4. Step 4: Simplify right side
    53,478.84x = 2,555,333,881.63
  5. Step 5: Solve for x
    x = 2,555,333,881.63/53,478.84
  6. Step 6: Final answer
    x = 47,782.15

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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.