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Finding the Fourth Proportional to 64,833.84, 97,084.03 and 52,123.86

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Solution

The fourth proportional to 64,833.84, 97,084.03 and 52,123.86 is: 78,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,833.84 : 97,084.03 = 52,123.86 : x
  2. Step 2: Convert to fraction form
    64,833.84/97,084.03 = 52,123.86/x
  3. Step 3: Cross multiply
    64,833.84x = 97,084.03 × 52,123.86
  4. Step 4: Simplify right side
    64,833.84x = 5,060,393,772.23
  5. Step 5: Solve for x
    x = 5,060,393,772.23/64,833.84
  6. Step 6: Final answer
    x = 78,051.74

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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.