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Finding the Fourth Proportional to 72,978.68, 109,430.64 and 33,501.50

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Solution

The fourth proportional to 72,978.68, 109,430.64 and 33,501.50 is: 50,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,978.68 : 109,430.64 = 33,501.50 : x
  2. Step 2: Convert to fraction form
    72,978.68/109,430.64 = 33,501.50/x
  3. Step 3: Cross multiply
    72,978.68x = 109,430.64 × 33,501.50
  4. Step 4: Simplify right side
    72,978.68x = 3,666,090,585.96
  5. Step 5: Solve for x
    x = 3,666,090,585.96/72,978.68
  6. Step 6: Final answer
    x = 50,235.09

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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.