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Finding the Fourth Proportional to 30,533.38, 45,802.80 and 8,346.87

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Solution

The fourth proportional to 30,533.38, 45,802.80 and 8,346.87 is: 12,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.38 : 45,802.80 = 8,346.87 : x
  2. Step 2: Convert to fraction form
    30,533.38/45,802.80 = 8,346.87/x
  3. Step 3: Cross multiply
    30,533.38x = 45,802.80 × 8,346.87
  4. Step 4: Simplify right side
    30,533.38x = 382,310,017.24
  5. Step 5: Solve for x
    x = 382,310,017.24/30,533.38
  6. Step 6: Final answer
    x = 12,521.05

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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.