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Finding the Fourth Proportional to 76,577.33, 105,686.03 and 46,361.90

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Solution

The fourth proportional to 76,577.33, 105,686.03 and 46,361.90 is: 63,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577.33 : 105,686.03 = 46,361.90 : x
  2. Step 2: Convert to fraction form
    76,577.33/105,686.03 = 46,361.90/x
  3. Step 3: Cross multiply
    76,577.33x = 105,686.03 × 46,361.90
  4. Step 4: Simplify right side
    76,577.33x = 4,899,805,534.38
  5. Step 5: Solve for x
    x = 4,899,805,534.38/76,577.33
  6. Step 6: Final answer
    x = 63,985.06

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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.