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Finding the Fourth Proportional to 37,965.80, 56,948.40 and 9,885.80

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Solution

The fourth proportional to 37,965.80, 56,948.40 and 9,885.80 is: 14,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,965.80 : 56,948.40 = 9,885.80 : x
  2. Step 2: Convert to fraction form
    37,965.80/56,948.40 = 9,885.80/x
  3. Step 3: Cross multiply
    37,965.80x = 56,948.40 × 9,885.80
  4. Step 4: Simplify right side
    37,965.80x = 562,980,492.72
  5. Step 5: Solve for x
    x = 562,980,492.72/37,965.80
  6. Step 6: Final answer
    x = 14,828.62

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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.