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Finding the Fourth Proportional to 61,051.86, 91,611.81 and 32,971.32

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Solution

The fourth proportional to 61,051.86, 91,611.81 and 32,971.32 is: 49,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,051.86 : 91,611.81 = 32,971.32 : x
  2. Step 2: Convert to fraction form
    61,051.86/91,611.81 = 32,971.32/x
  3. Step 3: Cross multiply
    61,051.86x = 91,611.81 × 32,971.32
  4. Step 4: Simplify right side
    61,051.86x = 3,020,562,303.29
  5. Step 5: Solve for x
    x = 3,020,562,303.29/61,051.86
  6. Step 6: Final answer
    x = 49,475.35

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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.