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Finding the Fourth Proportional to 52,113.93, 78,275.50 and 31,094.99

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Solution

The fourth proportional to 52,113.93, 78,275.50 and 31,094.99 is: 46,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113.93 : 78,275.50 = 31,094.99 : x
  2. Step 2: Convert to fraction form
    52,113.93/78,275.50 = 31,094.99/x
  3. Step 3: Cross multiply
    52,113.93x = 78,275.50 × 31,094.99
  4. Step 4: Simplify right side
    52,113.93x = 2,433,975,889.75
  5. Step 5: Solve for x
    x = 2,433,975,889.75/52,113.93
  6. Step 6: Final answer
    x = 46,704.90

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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.