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Finding the Fourth Proportional to 47,130, 65,006.70 and 32,014.20

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Solution

The fourth proportional to 47,130, 65,006.70 and 32,014.20 is: 44,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,130 : 65,006.70 = 32,014.20 : x
  2. Step 2: Convert to fraction form
    47,130/65,006.70 = 32,014.20/x
  3. Step 3: Cross multiply
    47,130x = 65,006.70 × 32,014.20
  4. Step 4: Simplify right side
    47,130x = 2,081,137,495.14
  5. Step 5: Solve for x
    x = 2,081,137,495.14/47,130
  6. Step 6: Final answer
    x = 44,157.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.