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Finding the Fourth Proportional to 115,145, 172,717.50 and 32,041.16

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Solution

The fourth proportional to 115,145, 172,717.50 and 32,041.16 is: 48,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,145 : 172,717.50 = 32,041.16 : x
  2. Step 2: Convert to fraction form
    115,145/172,717.50 = 32,041.16/x
  3. Step 3: Cross multiply
    115,145x = 172,717.50 × 32,041.16
  4. Step 4: Simplify right side
    115,145x = 5,534,069,052.30
  5. Step 5: Solve for x
    x = 5,534,069,052.30/115,145
  6. Step 6: Final answer
    x = 48,061.74

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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.