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Finding the Fourth Proportional to 30,903.84, 46,355.76 and 7,530.24

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Solution

The fourth proportional to 30,903.84, 46,355.76 and 7,530.24 is: 11,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.84 : 46,355.76 = 7,530.24 : x
  2. Step 2: Convert to fraction form
    30,903.84/46,355.76 = 7,530.24/x
  3. Step 3: Cross multiply
    30,903.84x = 46,355.76 × 7,530.24
  4. Step 4: Simplify right side
    30,903.84x = 349,069,998.18
  5. Step 5: Solve for x
    x = 349,069,998.18/30,903.84
  6. Step 6: Final answer
    x = 11,295.36

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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.