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Finding the Fourth Proportional to 65,200.16, 89,970 and 51,803.84

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Solution

The fourth proportional to 65,200.16, 89,970 and 51,803.84 is: 71,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.16 : 89,970 = 51,803.84 : x
  2. Step 2: Convert to fraction form
    65,200.16/89,970 = 51,803.84/x
  3. Step 3: Cross multiply
    65,200.16x = 89,970 × 51,803.84
  4. Step 4: Simplify right side
    65,200.16x = 4,660,791,484.80
  5. Step 5: Solve for x
    x = 4,660,791,484.80/65,200.16
  6. Step 6: Final answer
    x = 71,484.36

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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.