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Finding the Fourth Proportional to 115,114.50, 172,681.53 and 32,008.50

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Solution

The fourth proportional to 115,114.50, 172,681.53 and 32,008.50 is: 48,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114.50 : 172,681.53 = 32,008.50 : x
  2. Step 2: Convert to fraction form
    115,114.50/172,681.53 = 32,008.50/x
  3. Step 3: Cross multiply
    115,114.50x = 172,681.53 × 32,008.50
  4. Step 4: Simplify right side
    115,114.50x = 5,527,276,753.01
  5. Step 5: Solve for x
    x = 5,527,276,753.01/115,114.50
  6. Step 6: Final answer
    x = 48,015.47

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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.