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Finding the Fourth Proportional to 137,482.46, 206,223.78 and 37,643.48

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Solution

The fourth proportional to 137,482.46, 206,223.78 and 37,643.48 is: 56,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,482.46 : 206,223.78 = 37,643.48 : x
  2. Step 2: Convert to fraction form
    137,482.46/206,223.78 = 37,643.48/x
  3. Step 3: Cross multiply
    137,482.46x = 206,223.78 × 37,643.48
  4. Step 4: Simplify right side
    137,482.46x = 7,762,980,737.95
  5. Step 5: Solve for x
    x = 7,762,980,737.95/137,482.46
  6. Step 6: Final answer
    x = 56,465.24

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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.