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Finding the Fourth Proportional to 46,748.81, 64,518.03 and 27,885.94

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Solution

The fourth proportional to 46,748.81, 64,518.03 and 27,885.94 is: 38,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,748.81 : 64,518.03 = 27,885.94 : x
  2. Step 2: Convert to fraction form
    46,748.81/64,518.03 = 27,885.94/x
  3. Step 3: Cross multiply
    46,748.81x = 64,518.03 × 27,885.94
  4. Step 4: Simplify right side
    46,748.81x = 1,799,145,752.20
  5. Step 5: Solve for x
    x = 1,799,145,752.20/46,748.81
  6. Step 6: Final answer
    x = 38,485.38

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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.