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Finding the Fourth Proportional to 33,848.64, 46,666.32 and 27,776.64

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Solution

The fourth proportional to 33,848.64, 46,666.32 and 27,776.64 is: 38,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,848.64 : 46,666.32 = 27,776.64 : x
  2. Step 2: Convert to fraction form
    33,848.64/46,666.32 = 27,776.64/x
  3. Step 3: Cross multiply
    33,848.64x = 46,666.32 × 27,776.64
  4. Step 4: Simplify right side
    33,848.64x = 1,296,233,570.76
  5. Step 5: Solve for x
    x = 1,296,233,570.76/33,848.64
  6. Step 6: Final answer
    x = 38,295.00

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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.