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Finding the Fourth Proportional to 70,564.60, 97,384.26 and 46,649.80

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Solution

The fourth proportional to 70,564.60, 97,384.26 and 46,649.80 is: 64,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,564.60 : 97,384.26 = 46,649.80 : x
  2. Step 2: Convert to fraction form
    70,564.60/97,384.26 = 46,649.80/x
  3. Step 3: Cross multiply
    70,564.60x = 97,384.26 × 46,649.80
  4. Step 4: Simplify right side
    70,564.60x = 4,542,956,252.15
  5. Step 5: Solve for x
    x = 4,542,956,252.15/70,564.60
  6. Step 6: Final answer
    x = 64,380.10

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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.