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Finding the Fourth Proportional to 73,771.16, 110,663.04 and 31,653.08

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Solution

The fourth proportional to 73,771.16, 110,663.04 and 31,653.08 is: 47,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,771.16 : 110,663.04 = 31,653.08 : x
  2. Step 2: Convert to fraction form
    73,771.16/110,663.04 = 31,653.08/x
  3. Step 3: Cross multiply
    73,771.16x = 110,663.04 × 31,653.08
  4. Step 4: Simplify right side
    73,771.16x = 3,502,826,058.16
  5. Step 5: Solve for x
    x = 3,502,826,058.16/73,771.16
  6. Step 6: Final answer
    x = 47,482.32

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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.