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Finding the Fourth Proportional to 97,471.32, 146,089.17 and 47,476.50

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Solution

The fourth proportional to 97,471.32, 146,089.17 and 47,476.50 is: 71,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,471.32 : 146,089.17 = 47,476.50 : x
  2. Step 2: Convert to fraction form
    97,471.32/146,089.17 = 47,476.50/x
  3. Step 3: Cross multiply
    97,471.32x = 146,089.17 × 47,476.50
  4. Step 4: Simplify right side
    97,471.32x = 6,935,802,479.51
  5. Step 5: Solve for x
    x = 6,935,802,479.51/97,471.32
  6. Step 6: Final answer
    x = 71,157.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.