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Finding the Fourth Proportional to 114,565.66, 171,807.48 and 39,665.70

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Solution

The fourth proportional to 114,565.66, 171,807.48 and 39,665.70 is: 59,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,565.66 : 171,807.48 = 39,665.70 : x
  2. Step 2: Convert to fraction form
    114,565.66/171,807.48 = 39,665.70/x
  3. Step 3: Cross multiply
    114,565.66x = 171,807.48 × 39,665.70
  4. Step 4: Simplify right side
    114,565.66x = 6,814,863,959.44
  5. Step 5: Solve for x
    x = 6,814,863,959.44/114,565.66
  6. Step 6: Final answer
    x = 59,484.35

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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.