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Finding the Fourth Proportional to 53,859.84, 74,322.72 and 33,725.76

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Solution

The fourth proportional to 53,859.84, 74,322.72 and 33,725.76 is: 46,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859.84 : 74,322.72 = 33,725.76 : x
  2. Step 2: Convert to fraction form
    53,859.84/74,322.72 = 33,725.76/x
  3. Step 3: Cross multiply
    53,859.84x = 74,322.72 × 33,725.76
  4. Step 4: Simplify right side
    53,859.84x = 2,506,590,217.27
  5. Step 5: Solve for x
    x = 2,506,590,217.27/53,859.84
  6. Step 6: Final answer
    x = 46,539.13

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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.