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Finding the Fourth Proportional to 56,502.88, 77,910.16 and 46,261.96

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Solution

The fourth proportional to 56,502.88, 77,910.16 and 46,261.96 is: 63,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502.88 : 77,910.16 = 46,261.96 : x
  2. Step 2: Convert to fraction form
    56,502.88/77,910.16 = 46,261.96/x
  3. Step 3: Cross multiply
    56,502.88x = 77,910.16 × 46,261.96
  4. Step 4: Simplify right side
    56,502.88x = 3,604,276,705.51
  5. Step 5: Solve for x
    x = 3,604,276,705.51/56,502.88
  6. Step 6: Final answer
    x = 63,789.26

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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.