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Finding the Fourth Proportional to 97,245, 145,892.15 and 27,124.32

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Solution

The fourth proportional to 97,245, 145,892.15 and 27,124.32 is: 40,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,245 : 145,892.15 = 27,124.32 : x
  2. Step 2: Convert to fraction form
    97,245/145,892.15 = 27,124.32/x
  3. Step 3: Cross multiply
    97,245x = 145,892.15 × 27,124.32
  4. Step 4: Simplify right side
    97,245x = 3,957,225,226.47
  5. Step 5: Solve for x
    x = 3,957,225,226.47/97,245
  6. Step 6: Final answer
    x = 40,693.35

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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.