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Finding the Fourth Proportional to 97,412.96, 146,001.90 and 47,418.16

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Solution

The fourth proportional to 97,412.96, 146,001.90 and 47,418.16 is: 71,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,412.96 : 146,001.90 = 47,418.16 : x
  2. Step 2: Convert to fraction form
    97,412.96/146,001.90 = 47,418.16/x
  3. Step 3: Cross multiply
    97,412.96x = 146,001.90 × 47,418.16
  4. Step 4: Simplify right side
    97,412.96x = 6,923,141,454.50
  5. Step 5: Solve for x
    x = 6,923,141,454.50/97,412.96
  6. Step 6: Final answer
    x = 71,070.02

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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.