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Finding the Fourth Proportional to 54,533.60, 81,752.40 and 36,946.40

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Solution

The fourth proportional to 54,533.60, 81,752.40 and 36,946.40 is: 55,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,533.60 : 81,752.40 = 36,946.40 : x
  2. Step 2: Convert to fraction form
    54,533.60/81,752.40 = 36,946.40/x
  3. Step 3: Cross multiply
    54,533.60x = 81,752.40 × 36,946.40
  4. Step 4: Simplify right side
    54,533.60x = 3,020,456,871.36
  5. Step 5: Solve for x
    x = 3,020,456,871.36/54,533.60
  6. Step 6: Final answer
    x = 55,387.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.