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Finding the Fourth Proportional to 75,709, 113,477.37 and 46,061.47

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Solution

The fourth proportional to 75,709, 113,477.37 and 46,061.47 is: 69,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709 : 113,477.37 = 46,061.47 : x
  2. Step 2: Convert to fraction form
    75,709/113,477.37 = 46,061.47/x
  3. Step 3: Cross multiply
    75,709x = 113,477.37 × 46,061.47
  4. Step 4: Simplify right side
    75,709x = 5,226,934,473.93
  5. Step 5: Solve for x
    x = 5,226,934,473.93/75,709
  6. Step 6: Final answer
    x = 69,039.80

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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.