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Finding the Fourth Proportional to 86,486.56, 129,652.93 and 46,527

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Solution

The fourth proportional to 86,486.56, 129,652.93 and 46,527 is: 69,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,486.56 : 129,652.93 = 46,527 : x
  2. Step 2: Convert to fraction form
    86,486.56/129,652.93 = 46,527/x
  3. Step 3: Cross multiply
    86,486.56x = 129,652.93 × 46,527
  4. Step 4: Simplify right side
    86,486.56x = 6,032,361,874.11
  5. Step 5: Solve for x
    x = 6,032,361,874.11/86,486.56
  6. Step 6: Final answer
    x = 69,749.12

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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.