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Finding the Fourth Proportional to 53,574.40, 80,246.40 and 32,838.40

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Solution

The fourth proportional to 53,574.40, 80,246.40 and 32,838.40 is: 49,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,574.40 : 80,246.40 = 32,838.40 : x
  2. Step 2: Convert to fraction form
    53,574.40/80,246.40 = 32,838.40/x
  3. Step 3: Cross multiply
    53,574.40x = 80,246.40 × 32,838.40
  4. Step 4: Simplify right side
    53,574.40x = 2,635,163,381.76
  5. Step 5: Solve for x
    x = 2,635,163,381.76/53,574.40
  6. Step 6: Final answer
    x = 49,186.99

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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.