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Finding the Fourth Proportional to 82,630.34, 114,029.88 and 44,904.50

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Solution

The fourth proportional to 82,630.34, 114,029.88 and 44,904.50 is: 61,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,630.34 : 114,029.88 = 44,904.50 : x
  2. Step 2: Convert to fraction form
    82,630.34/114,029.88 = 44,904.50/x
  3. Step 3: Cross multiply
    82,630.34x = 114,029.88 × 44,904.50
  4. Step 4: Simplify right side
    82,630.34x = 5,120,454,746.46
  5. Step 5: Solve for x
    x = 5,120,454,746.46/82,630.34
  6. Step 6: Final answer
    x = 61,968.22

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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.