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Finding the Fourth Proportional to 56,134.70, 77,463.95 and 33,462

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Solution

The fourth proportional to 56,134.70, 77,463.95 and 33,462 is: 46,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,134.70 : 77,463.95 = 33,462 : x
  2. Step 2: Convert to fraction form
    56,134.70/77,463.95 = 33,462/x
  3. Step 3: Cross multiply
    56,134.70x = 77,463.95 × 33,462
  4. Step 4: Simplify right side
    56,134.70x = 2,592,098,527.59
  5. Step 5: Solve for x
    x = 2,592,098,527.59/56,134.70
  6. Step 6: Final answer
    x = 46,176.40

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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.