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Finding the Fourth Proportional to 61,349.76, 92,051.51 and 29,784.06

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Solution

The fourth proportional to 61,349.76, 92,051.51 and 29,784.06 is: 44,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,349.76 : 92,051.51 = 29,784.06 : x
  2. Step 2: Convert to fraction form
    61,349.76/92,051.51 = 29,784.06/x
  3. Step 3: Cross multiply
    61,349.76x = 92,051.51 × 29,784.06
  4. Step 4: Simplify right side
    61,349.76x = 2,741,667,548.01
  5. Step 5: Solve for x
    x = 2,741,667,548.01/61,349.76
  6. Step 6: Final answer
    x = 44,689.13

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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.