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Finding the Fourth Proportional to 61,857.46, 92,740.76 and 19,713.29

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Solution

The fourth proportional to 61,857.46, 92,740.76 and 19,713.29 is: 29,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,857.46 : 92,740.76 = 19,713.29 : x
  2. Step 2: Convert to fraction form
    61,857.46/92,740.76 = 19,713.29/x
  3. Step 3: Cross multiply
    61,857.46x = 92,740.76 × 19,713.29
  4. Step 4: Simplify right side
    61,857.46x = 1,828,225,398.13
  5. Step 5: Solve for x
    x = 1,828,225,398.13/61,857.46
  6. Step 6: Final answer
    x = 29,555.46

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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.