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Finding the Fourth Proportional to 32,117.37, 44,322.09 and 17,970.21

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Solution

The fourth proportional to 32,117.37, 44,322.09 and 17,970.21 is: 24,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.37 : 44,322.09 = 17,970.21 : x
  2. Step 2: Convert to fraction form
    32,117.37/44,322.09 = 17,970.21/x
  3. Step 3: Cross multiply
    32,117.37x = 44,322.09 × 17,970.21
  4. Step 4: Simplify right side
    32,117.37x = 796,477,264.94
  5. Step 5: Solve for x
    x = 796,477,264.94/32,117.37
  6. Step 6: Final answer
    x = 24,798.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.