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Finding the Fourth Proportional to 64,782.72, 97,102.80 and 25,332.48

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Solution

The fourth proportional to 64,782.72, 97,102.80 and 25,332.48 is: 37,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,782.72 : 97,102.80 = 25,332.48 : x
  2. Step 2: Convert to fraction form
    64,782.72/97,102.80 = 25,332.48/x
  3. Step 3: Cross multiply
    64,782.72x = 97,102.80 × 25,332.48
  4. Step 4: Simplify right side
    64,782.72x = 2,459,854,738.94
  5. Step 5: Solve for x
    x = 2,459,854,738.94/64,782.72
  6. Step 6: Final answer
    x = 37,970.85

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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.