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Finding the Fourth Proportional to 76,642.16, 105,775.40 and 46,426.60

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Solution

The fourth proportional to 76,642.16, 105,775.40 and 46,426.60 is: 64,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,642.16 : 105,775.40 = 46,426.60 : x
  2. Step 2: Convert to fraction form
    76,642.16/105,775.40 = 46,426.60/x
  3. Step 3: Cross multiply
    76,642.16x = 105,775.40 × 46,426.60
  4. Step 4: Simplify right side
    76,642.16x = 4,910,791,689.07
  5. Step 5: Solve for x
    x = 4,910,791,689.07/76,642.16
  6. Step 6: Final answer
    x = 64,074.28

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