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Finding the Fourth Proportional to 97,808.64, 146,628.78 and 41,597.28

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Solution

The fourth proportional to 97,808.64, 146,628.78 and 41,597.28 is: 62,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,808.64 : 146,628.78 = 41,597.28 : x
  2. Step 2: Convert to fraction form
    97,808.64/146,628.78 = 41,597.28/x
  3. Step 3: Cross multiply
    97,808.64x = 146,628.78 × 41,597.28
  4. Step 4: Simplify right side
    97,808.64x = 6,099,358,417.72
  5. Step 5: Solve for x
    x = 6,099,358,417.72/97,808.64
  6. Step 6: Final answer
    x = 62,360.12

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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.