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Finding the Fourth Proportional to 137,671.53, 206,509.56 and 37,831.10

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Solution

The fourth proportional to 137,671.53, 206,509.56 and 37,831.10 is: 56,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,671.53 : 206,509.56 = 37,831.10 : x
  2. Step 2: Convert to fraction form
    137,671.53/206,509.56 = 37,831.10/x
  3. Step 3: Cross multiply
    137,671.53x = 206,509.56 × 37,831.10
  4. Step 4: Simplify right side
    137,671.53x = 7,812,482,782.77
  5. Step 5: Solve for x
    x = 7,812,482,782.77/137,671.53
  6. Step 6: Final answer
    x = 56,747.26

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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.