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Finding the Fourth Proportional to 76,875.66, 106,090.29 and 42,883.90

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Solution

The fourth proportional to 76,875.66, 106,090.29 and 42,883.90 is: 59,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,875.66 : 106,090.29 = 42,883.90 : x
  2. Step 2: Convert to fraction form
    76,875.66/106,090.29 = 42,883.90/x
  3. Step 3: Cross multiply
    76,875.66x = 106,090.29 × 42,883.90
  4. Step 4: Simplify right side
    76,875.66x = 4,549,565,122.11
  5. Step 5: Solve for x
    x = 4,549,565,122.11/76,875.66
  6. Step 6: Final answer
    x = 59,180.83

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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.