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Finding the Fourth Proportional to 97,096.96, 145,702.04 and 40,933.64

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Solution

The fourth proportional to 97,096.96, 145,702.04 and 40,933.64 is: 61,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,096.96 : 145,702.04 = 40,933.64 : x
  2. Step 2: Convert to fraction form
    97,096.96/145,702.04 = 40,933.64/x
  3. Step 3: Cross multiply
    97,096.96x = 145,702.04 × 40,933.64
  4. Step 4: Simplify right side
    97,096.96x = 5,964,114,852.63
  5. Step 5: Solve for x
    x = 5,964,114,852.63/97,096.96
  6. Step 6: Final answer
    x = 61,424.32

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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.