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Finding the Fourth Proportional to 30,762.72, 42,455.52 and 19,584

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Solution

The fourth proportional to 30,762.72, 42,455.52 and 19,584 is: 27,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.72 : 42,455.52 = 19,584 : x
  2. Step 2: Convert to fraction form
    30,762.72/42,455.52 = 19,584/x
  3. Step 3: Cross multiply
    30,762.72x = 42,455.52 × 19,584
  4. Step 4: Simplify right side
    30,762.72x = 831,448,903.68
  5. Step 5: Solve for x
    x = 831,448,903.68/30,762.72
  6. Step 6: Final answer
    x = 27,027.81

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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.