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Finding the Fourth Proportional to 76,182.40, 105,130.56 and 42,649.60

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Solution

The fourth proportional to 76,182.40, 105,130.56 and 42,649.60 is: 58,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,182.40 : 105,130.56 = 42,649.60 : x
  2. Step 2: Convert to fraction form
    76,182.40/105,130.56 = 42,649.60/x
  3. Step 3: Cross multiply
    76,182.40x = 105,130.56 × 42,649.60
  4. Step 4: Simplify right side
    76,182.40x = 4,483,776,331.78
  5. Step 5: Solve for x
    x = 4,483,776,331.78/76,182.40
  6. Step 6: Final answer
    x = 58,855.80

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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.