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Finding the Fourth Proportional to 30,962.66, 46,434.88 and 8,777.98

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Solution

The fourth proportional to 30,962.66, 46,434.88 and 8,777.98 is: 13,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.66 : 46,434.88 = 8,777.98 : x
  2. Step 2: Convert to fraction form
    30,962.66/46,434.88 = 8,777.98/x
  3. Step 3: Cross multiply
    30,962.66x = 46,434.88 × 8,777.98
  4. Step 4: Simplify right side
    30,962.66x = 407,604,309.91
  5. Step 5: Solve for x
    x = 407,604,309.91/30,962.66
  6. Step 6: Final answer
    x = 13,164.38

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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.