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Finding the Fourth Proportional to 53,966.80, 74,491.68 and 36,065.80

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Solution

The fourth proportional to 53,966.80, 74,491.68 and 36,065.80 is: 49,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,966.80 : 74,491.68 = 36,065.80 : x
  2. Step 2: Convert to fraction form
    53,966.80/74,491.68 = 36,065.80/x
  3. Step 3: Cross multiply
    53,966.80x = 74,491.68 × 36,065.80
  4. Step 4: Simplify right side
    53,966.80x = 2,686,602,032.54
  5. Step 5: Solve for x
    x = 2,686,602,032.54/53,966.80
  6. Step 6: Final answer
    x = 49,782.50

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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.