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Finding the Fourth Proportional to 40,535, 60,802.77 and 12,833

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Solution

The fourth proportional to 40,535, 60,802.77 and 12,833 is: 19,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,535 : 60,802.77 = 12,833 : x
  2. Step 2: Convert to fraction form
    40,535/60,802.77 = 12,833/x
  3. Step 3: Cross multiply
    40,535x = 60,802.77 × 12,833
  4. Step 4: Simplify right side
    40,535x = 780,281,947.41
  5. Step 5: Solve for x
    x = 780,281,947.41/40,535
  6. Step 6: Final answer
    x = 19,249.59

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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.