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Finding the Fourth Proportional to 30,513.60, 45,773.60 and 9,732.32

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Solution

The fourth proportional to 30,513.60, 45,773.60 and 9,732.32 is: 14,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.60 : 45,773.60 = 9,732.32 : x
  2. Step 2: Convert to fraction form
    30,513.60/45,773.60 = 9,732.32/x
  3. Step 3: Cross multiply
    30,513.60x = 45,773.60 × 9,732.32
  4. Step 4: Simplify right side
    30,513.60x = 445,483,322.75
  5. Step 5: Solve for x
    x = 445,483,322.75/30,513.60
  6. Step 6: Final answer
    x = 14,599.50

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1.5x scale

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.