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Finding the Fourth Proportional to 30,535.34, 45,807.36 and 9,477.20

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Solution

The fourth proportional to 30,535.34, 45,807.36 and 9,477.20 is: 14,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.34 : 45,807.36 = 9,477.20 : x
  2. Step 2: Convert to fraction form
    30,535.34/45,807.36 = 9,477.20/x
  3. Step 3: Cross multiply
    30,535.34x = 45,807.36 × 9,477.20
  4. Step 4: Simplify right side
    30,535.34x = 434,125,512.19
  5. Step 5: Solve for x
    x = 434,125,512.19/30,535.34
  6. Step 6: Final answer
    x = 14,217.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.