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Finding the Fourth Proportional to 32,117.12, 44,322.82 and 17,970.06

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Solution

The fourth proportional to 32,117.12, 44,322.82 and 17,970.06 is: 24,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.12 : 44,322.82 = 17,970.06 : x
  2. Step 2: Convert to fraction form
    32,117.12/44,322.82 = 17,970.06/x
  3. Step 3: Cross multiply
    32,117.12x = 44,322.82 × 17,970.06
  4. Step 4: Simplify right side
    32,117.12x = 796,483,689.84
  5. Step 5: Solve for x
    x = 796,483,689.84/32,117.12
  6. Step 6: Final answer
    x = 24,799.35

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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.