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Finding the Fourth Proportional to 121,648.80, 182,490.56 and 37,416

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Solution

The fourth proportional to 121,648.80, 182,490.56 and 37,416 is: 56,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,648.80 : 182,490.56 = 37,416 : x
  2. Step 2: Convert to fraction form
    121,648.80/182,490.56 = 37,416/x
  3. Step 3: Cross multiply
    121,648.80x = 182,490.56 × 37,416
  4. Step 4: Simplify right side
    121,648.80x = 6,828,066,792.96
  5. Step 5: Solve for x
    x = 6,828,066,792.96/121,648.80
  6. Step 6: Final answer
    x = 56,129.34

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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.