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Finding the Fourth Proportional to 78,405.16, 117,607.50 and 31,657.48

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Solution

The fourth proportional to 78,405.16, 117,607.50 and 31,657.48 is: 47,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.16 : 117,607.50 = 31,657.48 : x
  2. Step 2: Convert to fraction form
    78,405.16/117,607.50 = 31,657.48/x
  3. Step 3: Cross multiply
    78,405.16x = 117,607.50 × 31,657.48
  4. Step 4: Simplify right side
    78,405.16x = 3,723,157,079.10
  5. Step 5: Solve for x
    x = 3,723,157,079.10/78,405.16
  6. Step 6: Final answer
    x = 47,486.12

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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.