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Finding the Fourth Proportional to 103,135.78, 154,727.89 and 32,054.77

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Solution

The fourth proportional to 103,135.78, 154,727.89 and 32,054.77 is: 48,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,135.78 : 154,727.89 = 32,054.77 : x
  2. Step 2: Convert to fraction form
    103,135.78/154,727.89 = 32,054.77/x
  3. Step 3: Cross multiply
    103,135.78x = 154,727.89 × 32,054.77
  4. Step 4: Simplify right side
    103,135.78x = 4,959,767,039.81
  5. Step 5: Solve for x
    x = 4,959,767,039.81/103,135.78
  6. Step 6: Final answer
    x = 48,089.68

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1.5x scale

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.