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Finding the Fourth Proportional to 52,849.84, 72,933.60 and 31,630

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Solution

The fourth proportional to 52,849.84, 72,933.60 and 31,630 is: 43,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,849.84 : 72,933.60 = 31,630 : x
  2. Step 2: Convert to fraction form
    52,849.84/72,933.60 = 31,630/x
  3. Step 3: Cross multiply
    52,849.84x = 72,933.60 × 31,630
  4. Step 4: Simplify right side
    52,849.84x = 2,306,889,768
  5. Step 5: Solve for x
    x = 2,306,889,768/52,849.84
  6. Step 6: Final answer
    x = 43,649.89

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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.