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Finding the Fourth Proportional to 85,364.16, 117,802.56 and 47,637.60

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Solution

The fourth proportional to 85,364.16, 117,802.56 and 47,637.60 is: 65,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,364.16 : 117,802.56 = 47,637.60 : x
  2. Step 2: Convert to fraction form
    85,364.16/117,802.56 = 47,637.60/x
  3. Step 3: Cross multiply
    85,364.16x = 117,802.56 × 47,637.60
  4. Step 4: Simplify right side
    85,364.16x = 5,611,831,232.26
  5. Step 5: Solve for x
    x = 5,611,831,232.26/85,364.16
  6. Step 6: Final answer
    x = 65,739.90

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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.