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Finding the Fourth Proportional to 92,726.52, 127,964.80 and 56,415.48

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Solution

The fourth proportional to 92,726.52, 127,964.80 and 56,415.48 is: 77,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,726.52 : 127,964.80 = 56,415.48 : x
  2. Step 2: Convert to fraction form
    92,726.52/127,964.80 = 56,415.48/x
  3. Step 3: Cross multiply
    92,726.52x = 127,964.80 × 56,415.48
  4. Step 4: Simplify right side
    92,726.52x = 7,219,195,615.10
  5. Step 5: Solve for x
    x = 7,219,195,615.10/92,726.52
  6. Step 6: Final answer
    x = 77,854.70

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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.