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Finding the Fourth Proportional to 30,813.60, 46,323.52 and 24,318.08

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Solution

The fourth proportional to 30,813.60, 46,323.52 and 24,318.08 is: 36,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.60 : 46,323.52 = 24,318.08 : x
  2. Step 2: Convert to fraction form
    30,813.60/46,323.52 = 24,318.08/x
  3. Step 3: Cross multiply
    30,813.60x = 46,323.52 × 24,318.08
  4. Step 4: Simplify right side
    30,813.60x = 1,126,499,065.24
  5. Step 5: Solve for x
    x = 1,126,499,065.24/30,813.60
  6. Step 6: Final answer
    x = 36,558.50

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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.