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Finding the Fourth Proportional to 47,740.81, 65,875.01 and 27,593.81

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Solution

The fourth proportional to 47,740.81, 65,875.01 and 27,593.81 is: 38,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,740.81 : 65,875.01 = 27,593.81 : x
  2. Step 2: Convert to fraction form
    47,740.81/65,875.01 = 27,593.81/x
  3. Step 3: Cross multiply
    47,740.81x = 65,875.01 × 27,593.81
  4. Step 4: Simplify right side
    47,740.81x = 1,817,742,371.72
  5. Step 5: Solve for x
    x = 1,817,742,371.72/47,740.81
  6. Step 6: Final answer
    x = 38,075.23

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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.