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Finding the Fourth Proportional to 76,228.98, 105,199.90 and 46,013.91

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Solution

The fourth proportional to 76,228.98, 105,199.90 and 46,013.91 is: 63,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,228.98 : 105,199.90 = 46,013.91 : x
  2. Step 2: Convert to fraction form
    76,228.98/105,199.90 = 46,013.91/x
  3. Step 3: Cross multiply
    76,228.98x = 105,199.90 × 46,013.91
  4. Step 4: Simplify right side
    76,228.98x = 4,840,658,615.57
  5. Step 5: Solve for x
    x = 4,840,658,615.57/76,228.98
  6. Step 6: Final answer
    x = 63,501.55

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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.