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Finding the Fourth Proportional to 82,312.26, 113,590.93 and 44,586.51

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Solution

The fourth proportional to 82,312.26, 113,590.93 and 44,586.51 is: 61,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,312.26 : 113,590.93 = 44,586.51 : x
  2. Step 2: Convert to fraction form
    82,312.26/113,590.93 = 44,586.51/x
  3. Step 3: Cross multiply
    82,312.26x = 113,590.93 × 44,586.51
  4. Step 4: Simplify right side
    82,312.26x = 5,064,623,136.35
  5. Step 5: Solve for x
    x = 5,064,623,136.35/82,312.26
  6. Step 6: Final answer
    x = 61,529.39

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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.