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Finding the Fourth Proportional to 97,397.86, 146,009.07 and 35,024.50

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Solution

The fourth proportional to 97,397.86, 146,009.07 and 35,024.50 is: 52,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,397.86 : 146,009.07 = 35,024.50 : x
  2. Step 2: Convert to fraction form
    97,397.86/146,009.07 = 35,024.50/x
  3. Step 3: Cross multiply
    97,397.86x = 146,009.07 × 35,024.50
  4. Step 4: Simplify right side
    97,397.86x = 5,113,894,672.22
  5. Step 5: Solve for x
    x = 5,113,894,672.22/97,397.86
  6. Step 6: Final answer
    x = 52,505.21

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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.