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Finding the Fourth Proportional to 70,180.10, 105,303.35 and 36,428.18

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Solution

The fourth proportional to 70,180.10, 105,303.35 and 36,428.18 is: 54,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,180.10 : 105,303.35 = 36,428.18 : x
  2. Step 2: Convert to fraction form
    70,180.10/105,303.35 = 36,428.18/x
  3. Step 3: Cross multiply
    70,180.10x = 105,303.35 × 36,428.18
  4. Step 4: Simplify right side
    70,180.10x = 3,836,009,388.40
  5. Step 5: Solve for x
    x = 3,836,009,388.40/70,180.10
  6. Step 6: Final answer
    x = 54,659.50

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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.