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Finding the Fourth Proportional to 76,270, 105,252.63 and 46,462

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Solution

The fourth proportional to 76,270, 105,252.63 and 46,462 is: 64,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,270 : 105,252.63 = 46,462 : x
  2. Step 2: Convert to fraction form
    76,270/105,252.63 = 46,462/x
  3. Step 3: Cross multiply
    76,270x = 105,252.63 × 46,462
  4. Step 4: Simplify right side
    76,270x = 4,890,247,695.06
  5. Step 5: Solve for x
    x = 4,890,247,695.06/76,270
  6. Step 6: Final answer
    x = 64,117.58

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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.