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Finding the Fourth Proportional to 30,909.30, 46,363.95 and 7,535.94

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Solution

The fourth proportional to 30,909.30, 46,363.95 and 7,535.94 is: 11,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.30 : 46,363.95 = 7,535.94 : x
  2. Step 2: Convert to fraction form
    30,909.30/46,363.95 = 7,535.94/x
  3. Step 3: Cross multiply
    30,909.30x = 46,363.95 × 7,535.94
  4. Step 4: Simplify right side
    30,909.30x = 349,395,945.36
  5. Step 5: Solve for x
    x = 349,395,945.36/30,909.30
  6. Step 6: Final answer
    x = 11,303.91

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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.