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Finding the Fourth Proportional to 102,365.94, 153,495.45 and 32,226.42

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Solution

The fourth proportional to 102,365.94, 153,495.45 and 32,226.42 is: 48,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.94 : 153,495.45 = 32,226.42 : x
  2. Step 2: Convert to fraction form
    102,365.94/153,495.45 = 32,226.42/x
  3. Step 3: Cross multiply
    102,365.94x = 153,495.45 × 32,226.42
  4. Step 4: Simplify right side
    102,365.94x = 4,946,608,839.79
  5. Step 5: Solve for x
    x = 4,946,608,839.79/102,365.94
  6. Step 6: Final answer
    x = 48,322.80

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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.