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Finding the Fourth Proportional to 32,117.50, 44,322.15 and 17,973.08

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Solution

The fourth proportional to 32,117.50, 44,322.15 and 17,973.08 is: 24,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.50 : 44,322.15 = 17,973.08 : x
  2. Step 2: Convert to fraction form
    32,117.50/44,322.15 = 17,973.08/x
  3. Step 3: Cross multiply
    32,117.50x = 44,322.15 × 17,973.08
  4. Step 4: Simplify right side
    32,117.50x = 796,605,547.72
  5. Step 5: Solve for x
    x = 796,605,547.72/32,117.50
  6. Step 6: Final answer
    x = 24,802.85

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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.