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Finding the Fourth Proportional to 54,952.58, 75,835.04 and 29,802.08

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Solution

The fourth proportional to 54,952.58, 75,835.04 and 29,802.08 is: 41,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.58 : 75,835.04 = 29,802.08 : x
  2. Step 2: Convert to fraction form
    54,952.58/75,835.04 = 29,802.08/x
  3. Step 3: Cross multiply
    54,952.58x = 75,835.04 × 29,802.08
  4. Step 4: Simplify right side
    54,952.58x = 2,260,041,400.70
  5. Step 5: Solve for x
    x = 2,260,041,400.70/54,952.58
  6. Step 6: Final answer
    x = 41,127.12

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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.