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Finding the Fourth Proportional to 53,696.84, 74,104.98 and 32,477

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Solution

The fourth proportional to 53,696.84, 74,104.98 and 32,477 is: 44,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696.84 : 74,104.98 = 32,477 : x
  2. Step 2: Convert to fraction form
    53,696.84/74,104.98 = 32,477/x
  3. Step 3: Cross multiply
    53,696.84x = 74,104.98 × 32,477
  4. Step 4: Simplify right side
    53,696.84x = 2,406,707,435.46
  5. Step 5: Solve for x
    x = 2,406,707,435.46/53,696.84
  6. Step 6: Final answer
    x = 44,820.28

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Why These Related Problems?

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