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Finding the Fourth Proportional to 66,970.53, 92,384.10 and 51,027.30

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Solution

The fourth proportional to 66,970.53, 92,384.10 and 51,027.30 is: 70,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,970.53 : 92,384.10 = 51,027.30 : x
  2. Step 2: Convert to fraction form
    66,970.53/92,384.10 = 51,027.30/x
  3. Step 3: Cross multiply
    66,970.53x = 92,384.10 × 51,027.30
  4. Step 4: Simplify right side
    66,970.53x = 4,714,111,185.93
  5. Step 5: Solve for x
    x = 4,714,111,185.93/66,970.53
  6. Step 6: Final answer
    x = 70,390.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.