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Finding the Fourth Proportional to 115,172.08, 172,684.16 and 48,594

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Solution

The fourth proportional to 115,172.08, 172,684.16 and 48,594 is: 72,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,172.08 : 172,684.16 = 48,594 : x
  2. Step 2: Convert to fraction form
    115,172.08/172,684.16 = 48,594/x
  3. Step 3: Cross multiply
    115,172.08x = 172,684.16 × 48,594
  4. Step 4: Simplify right side
    115,172.08x = 8,391,414,071.04
  5. Step 5: Solve for x
    x = 8,391,414,071.04/115,172.08
  6. Step 6: Final answer
    x = 72,859.79

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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.