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Finding the Fourth Proportional to 42,430.69, 63,646.37 and 12,850.84

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Solution

The fourth proportional to 42,430.69, 63,646.37 and 12,850.84 is: 19,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,430.69 : 63,646.37 = 12,850.84 : x
  2. Step 2: Convert to fraction form
    42,430.69/63,646.37 = 12,850.84/x
  3. Step 3: Cross multiply
    42,430.69x = 63,646.37 × 12,850.84
  4. Step 4: Simplify right side
    42,430.69x = 817,909,317.45
  5. Step 5: Solve for x
    x = 817,909,317.45/42,430.69
  6. Step 6: Final answer
    x = 19,276.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.