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Finding the Fourth Proportional to 30,420.60, 45,631.02 and 9,360.50

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Solution

The fourth proportional to 30,420.60, 45,631.02 and 9,360.50 is: 14,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.60 : 45,631.02 = 9,360.50 : x
  2. Step 2: Convert to fraction form
    30,420.60/45,631.02 = 9,360.50/x
  3. Step 3: Cross multiply
    30,420.60x = 45,631.02 × 9,360.50
  4. Step 4: Simplify right side
    30,420.60x = 427,129,162.71
  5. Step 5: Solve for x
    x = 427,129,162.71/30,420.60
  6. Step 6: Final answer
    x = 14,040.79

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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.