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Finding the Fourth Proportional to 66,587.36, 99,831.80 and 31,486

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Solution

The fourth proportional to 66,587.36, 99,831.80 and 31,486 is: 47,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,587.36 : 99,831.80 = 31,486 : x
  2. Step 2: Convert to fraction form
    66,587.36/99,831.80 = 31,486/x
  3. Step 3: Cross multiply
    66,587.36x = 99,831.80 × 31,486
  4. Step 4: Simplify right side
    66,587.36x = 3,143,304,054.80
  5. Step 5: Solve for x
    x = 3,143,304,054.80/66,587.36
  6. Step 6: Final answer
    x = 47,205.72

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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.