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Finding the Fourth Proportional to 64,803.80, 97,205.70 and 51,681.80

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Solution

The fourth proportional to 64,803.80, 97,205.70 and 51,681.80 is: 77,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,803.80 : 97,205.70 = 51,681.80 : x
  2. Step 2: Convert to fraction form
    64,803.80/97,205.70 = 51,681.80/x
  3. Step 3: Cross multiply
    64,803.80x = 97,205.70 × 51,681.80
  4. Step 4: Simplify right side
    64,803.80x = 5,023,765,546.26
  5. Step 5: Solve for x
    x = 5,023,765,546.26/64,803.80
  6. Step 6: Final answer
    x = 77,522.70

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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.