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Finding the Fourth Proportional to 92,130.45, 137,939.05 and 47,054.22

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Solution

The fourth proportional to 92,130.45, 137,939.05 and 47,054.22 is: 70,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,130.45 : 137,939.05 = 47,054.22 : x
  2. Step 2: Convert to fraction form
    92,130.45/137,939.05 = 47,054.22/x
  3. Step 3: Cross multiply
    92,130.45x = 137,939.05 × 47,054.22
  4. Step 4: Simplify right side
    92,130.45x = 6,490,613,946.84
  5. Step 5: Solve for x
    x = 6,490,613,946.84/92,130.45
  6. Step 6: Final answer
    x = 70,450.26

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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.