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Finding the Fourth Proportional to 78,120.62, 117,186.41 and 31,373.50

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Solution

The fourth proportional to 78,120.62, 117,186.41 and 31,373.50 is: 47,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,120.62 : 117,186.41 = 31,373.50 : x
  2. Step 2: Convert to fraction form
    78,120.62/117,186.41 = 31,373.50/x
  3. Step 3: Cross multiply
    78,120.62x = 117,186.41 × 31,373.50
  4. Step 4: Simplify right side
    78,120.62x = 3,676,547,834.14
  5. Step 5: Solve for x
    x = 3,676,547,834.14/78,120.62
  6. Step 6: Final answer
    x = 47,062.45

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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.