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Finding the Fourth Proportional to 41,051.76, 61,577.64 and 9,887

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Solution

The fourth proportional to 41,051.76, 61,577.64 and 9,887 is: 14,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,051.76 : 61,577.64 = 9,887 : x
  2. Step 2: Convert to fraction form
    41,051.76/61,577.64 = 9,887/x
  3. Step 3: Cross multiply
    41,051.76x = 61,577.64 × 9,887
  4. Step 4: Simplify right side
    41,051.76x = 608,818,126.68
  5. Step 5: Solve for x
    x = 608,818,126.68/41,051.76
  6. Step 6: Final answer
    x = 14,830.50

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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.