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Finding the Fourth Proportional to 94,406.84, 130,309 and 56,193.20

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Solution

The fourth proportional to 94,406.84, 130,309 and 56,193.20 is: 77,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,406.84 : 130,309 = 56,193.20 : x
  2. Step 2: Convert to fraction form
    94,406.84/130,309 = 56,193.20/x
  3. Step 3: Cross multiply
    94,406.84x = 130,309 × 56,193.20
  4. Step 4: Simplify right side
    94,406.84x = 7,322,479,698.80
  5. Step 5: Solve for x
    x = 7,322,479,698.80/94,406.84
  6. Step 6: Final answer
    x = 77,563.02

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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.