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Finding the Fourth Proportional to 70,054.31, 105,082.38 and 23,307.19

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Solution

The fourth proportional to 70,054.31, 105,082.38 and 23,307.19 is: 34,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,054.31 : 105,082.38 = 23,307.19 : x
  2. Step 2: Convert to fraction form
    70,054.31/105,082.38 = 23,307.19/x
  3. Step 3: Cross multiply
    70,054.31x = 105,082.38 × 23,307.19
  4. Step 4: Simplify right side
    70,054.31x = 2,449,174,733.61
  5. Step 5: Solve for x
    x = 2,449,174,733.61/70,054.31
  6. Step 6: Final answer
    x = 34,961.08

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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.