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Finding the Fourth Proportional to 115,201, 172,811.40 and 32,095

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Solution

The fourth proportional to 115,201, 172,811.40 and 32,095 is: 48,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,201 : 172,811.40 = 32,095 : x
  2. Step 2: Convert to fraction form
    115,201/172,811.40 = 32,095/x
  3. Step 3: Cross multiply
    115,201x = 172,811.40 × 32,095
  4. Step 4: Simplify right side
    115,201x = 5,546,381,883
  5. Step 5: Solve for x
    x = 5,546,381,883/115,201
  6. Step 6: Final answer
    x = 48,145.26

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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.