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Finding the Fourth Proportional to 70,521, 105,777.59 and 51,565.07

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Solution

The fourth proportional to 70,521, 105,777.59 and 51,565.07 is: 77,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,521 : 105,777.59 = 51,565.07 : x
  2. Step 2: Convert to fraction form
    70,521/105,777.59 = 51,565.07/x
  3. Step 3: Cross multiply
    70,521x = 105,777.59 × 51,565.07
  4. Step 4: Simplify right side
    70,521x = 5,454,428,046.07
  5. Step 5: Solve for x
    x = 5,454,428,046.07/70,521
  6. Step 6: Final answer
    x = 77,344.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.