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Finding the Fourth Proportional to 46,999.84, 64,866 and 30,281.44

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Solution

The fourth proportional to 46,999.84, 64,866 and 30,281.44 is: 41,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999.84 : 64,866 = 30,281.44 : x
  2. Step 2: Convert to fraction form
    46,999.84/64,866 = 30,281.44/x
  3. Step 3: Cross multiply
    46,999.84x = 64,866 × 30,281.44
  4. Step 4: Simplify right side
    46,999.84x = 1,964,235,887.04
  5. Step 5: Solve for x
    x = 1,964,235,887.04/46,999.84
  6. Step 6: Final answer
    x = 41,792.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.