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Finding the Fourth Proportional to 61,456.98, 92,214.16 and 31,858.67

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Solution

The fourth proportional to 61,456.98, 92,214.16 and 31,858.67 is: 47,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,456.98 : 92,214.16 = 31,858.67 : x
  2. Step 2: Convert to fraction form
    61,456.98/92,214.16 = 31,858.67/x
  3. Step 3: Cross multiply
    61,456.98x = 92,214.16 × 31,858.67
  4. Step 4: Simplify right side
    61,456.98x = 2,937,820,492.77
  5. Step 5: Solve for x
    x = 2,937,820,492.77/61,456.98
  6. Step 6: Final answer
    x = 47,802.88

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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.