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Finding the Fourth Proportional to 102,150.42, 153,225.63 and 32,035.20

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Solution

The fourth proportional to 102,150.42, 153,225.63 and 32,035.20 is: 48,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,150.42 : 153,225.63 = 32,035.20 : x
  2. Step 2: Convert to fraction form
    102,150.42/153,225.63 = 32,035.20/x
  3. Step 3: Cross multiply
    102,150.42x = 153,225.63 × 32,035.20
  4. Step 4: Simplify right side
    102,150.42x = 4,908,613,702.18
  5. Step 5: Solve for x
    x = 4,908,613,702.18/102,150.42
  6. Step 6: Final answer
    x = 48,052.80

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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.