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Finding the Fourth Proportional to 76,332, 105,338.21 and 46,524

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Solution

The fourth proportional to 76,332, 105,338.21 and 46,524 is: 64,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,332 : 105,338.21 = 46,524 : x
  2. Step 2: Convert to fraction form
    76,332/105,338.21 = 46,524/x
  3. Step 3: Cross multiply
    76,332x = 105,338.21 × 46,524
  4. Step 4: Simplify right side
    76,332x = 4,900,754,649.42
  5. Step 5: Solve for x
    x = 4,900,754,649.42/76,332
  6. Step 6: Final answer
    x = 64,203.15

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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.