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Finding the Fourth Proportional to 53,527.68, 73,836.48 and 32,294.40

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Solution

The fourth proportional to 53,527.68, 73,836.48 and 32,294.40 is: 44,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,527.68 : 73,836.48 = 32,294.40 : x
  2. Step 2: Convert to fraction form
    53,527.68/73,836.48 = 32,294.40/x
  3. Step 3: Cross multiply
    53,527.68x = 73,836.48 × 32,294.40
  4. Step 4: Simplify right side
    53,527.68x = 2,384,504,819.71
  5. Step 5: Solve for x
    x = 2,384,504,819.71/53,527.68
  6. Step 6: Final answer
    x = 44,547.14

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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.