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Finding the Fourth Proportional to 32,117.16, 44,320.43 and 17,970.02

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Solution

The fourth proportional to 32,117.16, 44,320.43 and 17,970.02 is: 24,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.16 : 44,320.43 = 17,970.02 : x
  2. Step 2: Convert to fraction form
    32,117.16/44,320.43 = 17,970.02/x
  3. Step 3: Cross multiply
    32,117.16x = 44,320.43 × 17,970.02
  4. Step 4: Simplify right side
    32,117.16x = 796,439,013.51
  5. Step 5: Solve for x
    x = 796,439,013.51/32,117.16
  6. Step 6: Final answer
    x = 24,797.93

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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.