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Finding the Fourth Proportional to 97,113.75, 145,670.67 and 26,993.67

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Solution

The fourth proportional to 97,113.75, 145,670.67 and 26,993.67 is: 40,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,113.75 : 145,670.67 = 26,993.67 : x
  2. Step 2: Convert to fraction form
    97,113.75/145,670.67 = 26,993.67/x
  3. Step 3: Cross multiply
    97,113.75x = 145,670.67 × 26,993.67
  4. Step 4: Simplify right side
    97,113.75x = 3,932,185,994.66
  5. Step 5: Solve for x
    x = 3,932,185,994.66/97,113.75
  6. Step 6: Final answer
    x = 40,490.52

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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.