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Finding the Fourth Proportional to 78,497.40, 117,746.10 and 47,393.40

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Solution

The fourth proportional to 78,497.40, 117,746.10 and 47,393.40 is: 71,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.40 : 117,746.10 = 47,393.40 : x
  2. Step 2: Convert to fraction form
    78,497.40/117,746.10 = 47,393.40/x
  3. Step 3: Cross multiply
    78,497.40x = 117,746.10 × 47,393.40
  4. Step 4: Simplify right side
    78,497.40x = 5,580,388,015.74
  5. Step 5: Solve for x
    x = 5,580,388,015.74/78,497.40
  6. Step 6: Final answer
    x = 71,090.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.