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Finding the Fourth Proportional to 102,162.35, 153,243.53 and 32,047.13

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Solution

The fourth proportional to 102,162.35, 153,243.53 and 32,047.13 is: 48,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,162.35 : 153,243.53 = 32,047.13 : x
  2. Step 2: Convert to fraction form
    102,162.35/153,243.53 = 32,047.13/x
  3. Step 3: Cross multiply
    102,162.35x = 153,243.53 × 32,047.13
  4. Step 4: Simplify right side
    102,162.35x = 4,911,014,401.12
  5. Step 5: Solve for x
    x = 4,911,014,401.12/102,162.35
  6. Step 6: Final answer
    x = 48,070.69

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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.