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Finding the Fourth Proportional to 52,335, 72,228.84 and 29,979

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Solution

The fourth proportional to 52,335, 72,228.84 and 29,979 is: 41,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,335 : 72,228.84 = 29,979 : x
  2. Step 2: Convert to fraction form
    52,335/72,228.84 = 29,979/x
  3. Step 3: Cross multiply
    52,335x = 72,228.84 × 29,979
  4. Step 4: Simplify right side
    52,335x = 2,165,348,394.36
  5. Step 5: Solve for x
    x = 2,165,348,394.36/52,335
  6. Step 6: Final answer
    x = 41,374.77

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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.