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Finding the Fourth Proportional to 32,946.27, 45,465.85 and 17,838.93

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Solution

The fourth proportional to 32,946.27, 45,465.85 and 17,838.93 is: 24,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.27 : 45,465.85 = 17,838.93 : x
  2. Step 2: Convert to fraction form
    32,946.27/45,465.85 = 17,838.93/x
  3. Step 3: Cross multiply
    32,946.27x = 45,465.85 × 17,838.93
  4. Step 4: Simplify right side
    32,946.27x = 811,062,070.94
  5. Step 5: Solve for x
    x = 811,062,070.94/32,946.27
  6. Step 6: Final answer
    x = 24,617.72

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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.