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Finding the Fourth Proportional to 78,343.60, 108,114.24 and 42,533.60

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Solution

The fourth proportional to 78,343.60, 108,114.24 and 42,533.60 is: 58,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,343.60 : 108,114.24 = 42,533.60 : x
  2. Step 2: Convert to fraction form
    78,343.60/108,114.24 = 42,533.60/x
  3. Step 3: Cross multiply
    78,343.60x = 108,114.24 × 42,533.60
  4. Step 4: Simplify right side
    78,343.60x = 4,598,487,838.46
  5. Step 5: Solve for x
    x = 4,598,487,838.46/78,343.60
  6. Step 6: Final answer
    x = 58,696.41

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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.