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Finding the Fourth Proportional to 70,565.69, 105,844.59 and 51,609.77

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Solution

The fourth proportional to 70,565.69, 105,844.59 and 51,609.77 is: 77,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,565.69 : 105,844.59 = 51,609.77 : x
  2. Step 2: Convert to fraction form
    70,565.69/105,844.59 = 51,609.77/x
  3. Step 3: Cross multiply
    70,565.69x = 105,844.59 × 51,609.77
  4. Step 4: Simplify right side
    70,565.69x = 5,462,614,813.34
  5. Step 5: Solve for x
    x = 5,462,614,813.34/70,565.69
  6. Step 6: Final answer
    x = 77,411.77

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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.