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Finding the Fourth Proportional to 53,539.64, 73,919.36 and 34,428

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Solution

The fourth proportional to 53,539.64, 73,919.36 and 34,428 is: 47,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,539.64 : 73,919.36 = 34,428 : x
  2. Step 2: Convert to fraction form
    53,539.64/73,919.36 = 34,428/x
  3. Step 3: Cross multiply
    53,539.64x = 73,919.36 × 34,428
  4. Step 4: Simplify right side
    53,539.64x = 2,544,895,726.08
  5. Step 5: Solve for x
    x = 2,544,895,726.08/53,539.64
  6. Step 6: Final answer
    x = 47,532.93

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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.