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Finding the Fourth Proportional to 56,358.74, 84,569.21 and 31,412.84

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Solution

The fourth proportional to 56,358.74, 84,569.21 and 31,412.84 is: 47,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358.74 : 84,569.21 = 31,412.84 : x
  2. Step 2: Convert to fraction form
    56,358.74/84,569.21 = 31,412.84/x
  3. Step 3: Cross multiply
    56,358.74x = 84,569.21 × 31,412.84
  4. Step 4: Simplify right side
    56,358.74x = 2,656,558,482.75
  5. Step 5: Solve for x
    x = 2,656,558,482.75/56,358.74
  6. Step 6: Final answer
    x = 47,136.59

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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.