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Finding the Fourth Proportional to 76,180.68, 105,129.14 and 42,646.68

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Solution

The fourth proportional to 76,180.68, 105,129.14 and 42,646.68 is: 58,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,180.68 : 105,129.14 = 42,646.68 : x
  2. Step 2: Convert to fraction form
    76,180.68/105,129.14 = 42,646.68/x
  3. Step 3: Cross multiply
    76,180.68x = 105,129.14 × 42,646.68
  4. Step 4: Simplify right side
    76,180.68x = 4,483,408,792.26
  5. Step 5: Solve for x
    x = 4,483,408,792.26/76,180.68
  6. Step 6: Final answer
    x = 58,852.31

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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.