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Finding the Fourth Proportional to 70,392.52, 105,595.65 and 20,473

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Solution

The fourth proportional to 70,392.52, 105,595.65 and 20,473 is: 30,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392.52 : 105,595.65 = 20,473 : x
  2. Step 2: Convert to fraction form
    70,392.52/105,595.65 = 20,473/x
  3. Step 3: Cross multiply
    70,392.52x = 105,595.65 × 20,473
  4. Step 4: Simplify right side
    70,392.52x = 2,161,859,742.45
  5. Step 5: Solve for x
    x = 2,161,859,742.45/70,392.52
  6. Step 6: Final answer
    x = 30,711.50

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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.