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Finding the Fourth Proportional to 77,006.40, 115,509.60 and 42,014.40

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Solution

The fourth proportional to 77,006.40, 115,509.60 and 42,014.40 is: 63,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006.40 : 115,509.60 = 42,014.40 : x
  2. Step 2: Convert to fraction form
    77,006.40/115,509.60 = 42,014.40/x
  3. Step 3: Cross multiply
    77,006.40x = 115,509.60 × 42,014.40
  4. Step 4: Simplify right side
    77,006.40x = 4,853,066,538.24
  5. Step 5: Solve for x
    x = 4,853,066,538.24/77,006.40
  6. Step 6: Final answer
    x = 63,021.60

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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.