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Finding the Fourth Proportional to 35,752.81, 49,346.06 and 20,647.93

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Solution

The fourth proportional to 35,752.81, 49,346.06 and 20,647.93 is: 28,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752.81 : 49,346.06 = 20,647.93 : x
  2. Step 2: Convert to fraction form
    35,752.81/49,346.06 = 20,647.93/x
  3. Step 3: Cross multiply
    35,752.81x = 49,346.06 × 20,647.93
  4. Step 4: Simplify right side
    35,752.81x = 1,018,893,941.04
  5. Step 5: Solve for x
    x = 1,018,893,941.04/35,752.81
  6. Step 6: Final answer
    x = 28,498.29

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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.