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Finding the Fourth Proportional to 97,674.63, 146,631.57 and 64,422.51

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Solution

The fourth proportional to 97,674.63, 146,631.57 and 64,422.51 is: 96,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,674.63 : 146,631.57 = 64,422.51 : x
  2. Step 2: Convert to fraction form
    97,674.63/146,631.57 = 64,422.51/x
  3. Step 3: Cross multiply
    97,674.63x = 146,631.57 × 64,422.51
  4. Step 4: Simplify right side
    97,674.63x = 9,446,373,784.64
  5. Step 5: Solve for x
    x = 9,446,373,784.64/97,674.63
  6. Step 6: Final answer
    x = 96,712.67

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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.