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Finding the Fourth Proportional to 64,675.75, 97,076.19 and 46,682.53

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Solution

The fourth proportional to 64,675.75, 97,076.19 and 46,682.53 is: 70,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,675.75 : 97,076.19 = 46,682.53 : x
  2. Step 2: Convert to fraction form
    64,675.75/97,076.19 = 46,682.53/x
  3. Step 3: Cross multiply
    64,675.75x = 97,076.19 × 46,682.53
  4. Step 4: Simplify right side
    64,675.75x = 4,531,761,909.27
  5. Step 5: Solve for x
    x = 4,531,761,909.27/64,675.75
  6. Step 6: Final answer
    x = 70,068.95

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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.