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Finding the Fourth Proportional to 46,869.54, 64,710.14 and 41,825.08

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Solution

The fourth proportional to 46,869.54, 64,710.14 and 41,825.08 is: 57,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,869.54 : 64,710.14 = 41,825.08 : x
  2. Step 2: Convert to fraction form
    46,869.54/64,710.14 = 41,825.08/x
  3. Step 3: Cross multiply
    46,869.54x = 64,710.14 × 41,825.08
  4. Step 4: Simplify right side
    46,869.54x = 2,706,507,071.34
  5. Step 5: Solve for x
    x = 2,706,507,071.34/46,869.54
  6. Step 6: Final answer
    x = 57,745.55

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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.