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Finding the Fourth Proportional to 71,615.24, 98,824.32 and 39,784.16

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Solution

The fourth proportional to 71,615.24, 98,824.32 and 39,784.16 is: 54,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,615.24 : 98,824.32 = 39,784.16 : x
  2. Step 2: Convert to fraction form
    71,615.24/98,824.32 = 39,784.16/x
  3. Step 3: Cross multiply
    71,615.24x = 98,824.32 × 39,784.16
  4. Step 4: Simplify right side
    71,615.24x = 3,931,642,558.77
  5. Step 5: Solve for x
    x = 3,931,642,558.77/71,615.24
  6. Step 6: Final answer
    x = 54,899.52

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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.