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Finding the Fourth Proportional to 46,538.49, 64,222.81 and 25,317.84

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Solution

The fourth proportional to 46,538.49, 64,222.81 and 25,317.84 is: 34,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,538.49 : 64,222.81 = 25,317.84 : x
  2. Step 2: Convert to fraction form
    46,538.49/64,222.81 = 25,317.84/x
  3. Step 3: Cross multiply
    46,538.49x = 64,222.81 × 25,317.84
  4. Step 4: Simplify right side
    46,538.49x = 1,625,982,827.93
  5. Step 5: Solve for x
    x = 1,625,982,827.93/46,538.49
  6. Step 6: Final answer
    x = 34,938.45

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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.