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Finding the Fourth Proportional to 75,670, 104,374.57 and 47,326.48

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Solution

The fourth proportional to 75,670, 104,374.57 and 47,326.48 is: 65,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,670 : 104,374.57 = 47,326.48 : x
  2. Step 2: Convert to fraction form
    75,670/104,374.57 = 47,326.48/x
  3. Step 3: Cross multiply
    75,670x = 104,374.57 × 47,326.48
  4. Step 4: Simplify right side
    75,670x = 4,939,680,999.61
  5. Step 5: Solve for x
    x = 4,939,680,999.61/75,670
  6. Step 6: Final answer
    x = 65,279.25

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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.