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Finding the Fourth Proportional to 85,612.10, 128,386.22 and 29,436.32

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Solution

The fourth proportional to 85,612.10, 128,386.22 and 29,436.32 is: 44,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,612.10 : 128,386.22 = 29,436.32 : x
  2. Step 2: Convert to fraction form
    85,612.10/128,386.22 = 29,436.32/x
  3. Step 3: Cross multiply
    85,612.10x = 128,386.22 × 29,436.32
  4. Step 4: Simplify right side
    85,612.10x = 3,779,217,855.51
  5. Step 5: Solve for x
    x = 3,779,217,855.51/85,612.10
  6. Step 6: Final answer
    x = 44,143.50

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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.