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Finding the Fourth Proportional to 30,752.50, 46,128.75 and 9,976

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Solution

The fourth proportional to 30,752.50, 46,128.75 and 9,976 is: 14,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.50 : 46,128.75 = 9,976 : x
  2. Step 2: Convert to fraction form
    30,752.50/46,128.75 = 9,976/x
  3. Step 3: Cross multiply
    30,752.50x = 46,128.75 × 9,976
  4. Step 4: Simplify right side
    30,752.50x = 460,180,410
  5. Step 5: Solve for x
    x = 460,180,410/30,752.50
  6. Step 6: Final answer
    x = 14,964

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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.