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Finding the Fourth Proportional to 47,756.84, 65,904.83 and 29,862.21

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Solution

The fourth proportional to 47,756.84, 65,904.83 and 29,862.21 is: 41,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,756.84 : 65,904.83 = 29,862.21 : x
  2. Step 2: Convert to fraction form
    47,756.84/65,904.83 = 29,862.21/x
  3. Step 3: Cross multiply
    47,756.84x = 65,904.83 × 29,862.21
  4. Step 4: Simplify right side
    47,756.84x = 1,968,064,083.29
  5. Step 5: Solve for x
    x = 1,968,064,083.29/47,756.84
  6. Step 6: Final answer
    x = 41,210.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.