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Finding the Fourth Proportional to 61,447.98, 92,226.89 and 31,482.63

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Solution

The fourth proportional to 61,447.98, 92,226.89 and 31,482.63 is: 47,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,447.98 : 92,226.89 = 31,482.63 : x
  2. Step 2: Convert to fraction form
    61,447.98/92,226.89 = 31,482.63/x
  3. Step 3: Cross multiply
    61,447.98x = 92,226.89 × 31,482.63
  4. Step 4: Simplify right side
    61,447.98x = 2,903,545,053.92
  5. Step 5: Solve for x
    x = 2,903,545,053.92/61,447.98
  6. Step 6: Final answer
    x = 47,252.08

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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.