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Finding the Fourth Proportional to 85,688, 128,615.10 and 41,345.90

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Solution

The fourth proportional to 85,688, 128,615.10 and 41,345.90 is: 62,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,688 : 128,615.10 = 41,345.90 : x
  2. Step 2: Convert to fraction form
    85,688/128,615.10 = 41,345.90/x
  3. Step 3: Cross multiply
    85,688x = 128,615.10 × 41,345.90
  4. Step 4: Simplify right side
    85,688x = 5,317,707,063.09
  5. Step 5: Solve for x
    x = 5,317,707,063.09/85,688
  6. Step 6: Final answer
    x = 62,058.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.