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Finding the Fourth Proportional to 75,274.16, 112,812.80 and 30,848.90

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Solution

The fourth proportional to 75,274.16, 112,812.80 and 30,848.90 is: 46,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,274.16 : 112,812.80 = 30,848.90 : x
  2. Step 2: Convert to fraction form
    75,274.16/112,812.80 = 30,848.90/x
  3. Step 3: Cross multiply
    75,274.16x = 112,812.80 × 30,848.90
  4. Step 4: Simplify right side
    75,274.16x = 3,480,150,298.98
  5. Step 5: Solve for x
    x = 3,480,150,298.98/75,274.16
  6. Step 6: Final answer
    x = 46,233.00

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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.