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Finding the Fourth Proportional to 102,147.72, 153,221.58 and 32,032.50

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Solution

The fourth proportional to 102,147.72, 153,221.58 and 32,032.50 is: 48,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,147.72 : 153,221.58 = 32,032.50 : x
  2. Step 2: Convert to fraction form
    102,147.72/153,221.58 = 32,032.50/x
  3. Step 3: Cross multiply
    102,147.72x = 153,221.58 × 32,032.50
  4. Step 4: Simplify right side
    102,147.72x = 4,908,070,261.35
  5. Step 5: Solve for x
    x = 4,908,070,261.35/102,147.72
  6. Step 6: Final answer
    x = 48,048.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.