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Finding the Fourth Proportional to 50,829.71, 70,136.84 and 31,953.47

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Solution

The fourth proportional to 50,829.71, 70,136.84 and 31,953.47 is: 44,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,829.71 : 70,136.84 = 31,953.47 : x
  2. Step 2: Convert to fraction form
    50,829.71/70,136.84 = 31,953.47/x
  3. Step 3: Cross multiply
    50,829.71x = 70,136.84 × 31,953.47
  4. Step 4: Simplify right side
    50,829.71x = 2,241,115,253.07
  5. Step 5: Solve for x
    x = 2,241,115,253.07/50,829.71
  6. Step 6: Final answer
    x = 44,090.66

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1.5x scale

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.