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Finding the Fourth Proportional to 76,646.94, 114,970.98 and 26,726.94

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Solution

The fourth proportional to 76,646.94, 114,970.98 and 26,726.94 is: 40,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,646.94 : 114,970.98 = 26,726.94 : x
  2. Step 2: Convert to fraction form
    76,646.94/114,970.98 = 26,726.94/x
  3. Step 3: Cross multiply
    76,646.94x = 114,970.98 × 26,726.94
  4. Step 4: Simplify right side
    76,646.94x = 3,072,822,484.20
  5. Step 5: Solve for x
    x = 3,072,822,484.20/76,646.94
  6. Step 6: Final answer
    x = 40,090.61

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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.