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Finding the Fourth Proportional to 102,548.64, 153,821.88 and 32,427.96

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Solution

The fourth proportional to 102,548.64, 153,821.88 and 32,427.96 is: 48,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,548.64 : 153,821.88 = 32,427.96 : x
  2. Step 2: Convert to fraction form
    102,548.64/153,821.88 = 32,427.96/x
  3. Step 3: Cross multiply
    102,548.64x = 153,821.88 × 32,427.96
  4. Step 4: Simplify right side
    102,548.64x = 4,988,129,771.76
  5. Step 5: Solve for x
    x = 4,988,129,771.76/102,548.64
  6. Step 6: Final answer
    x = 48,641.60

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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.