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Finding the Fourth Proportional to 47,095.93, 70,643.93 and 29,578.06

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Solution

The fourth proportional to 47,095.93, 70,643.93 and 29,578.06 is: 44,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,095.93 : 70,643.93 = 29,578.06 : x
  2. Step 2: Convert to fraction form
    47,095.93/70,643.93 = 29,578.06/x
  3. Step 3: Cross multiply
    47,095.93x = 70,643.93 × 29,578.06
  4. Step 4: Simplify right side
    47,095.93x = 2,089,510,400.18
  5. Step 5: Solve for x
    x = 2,089,510,400.18/47,095.93
  6. Step 6: Final answer
    x = 44,367.11

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Why These Related Problems?

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