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Finding the Fourth Proportional to 34,071.03, 50,827.10 and 31,684.77

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Solution

The fourth proportional to 34,071.03, 50,827.10 and 31,684.77 is: 47,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.03 : 50,827.10 = 31,684.77 : x
  2. Step 2: Convert to fraction form
    34,071.03/50,827.10 = 31,684.77/x
  3. Step 3: Cross multiply
    34,071.03x = 50,827.10 × 31,684.77
  4. Step 4: Simplify right side
    34,071.03x = 1,610,444,814.84
  5. Step 5: Solve for x
    x = 1,610,444,814.84/34,071.03
  6. Step 6: Final answer
    x = 47,267.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.