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Finding the Fourth Proportional to 47,490, 65,534.92 and 27,075.76

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Solution

The fourth proportional to 47,490, 65,534.92 and 27,075.76 is: 37,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,490 : 65,534.92 = 27,075.76 : x
  2. Step 2: Convert to fraction form
    47,490/65,534.92 = 27,075.76/x
  3. Step 3: Cross multiply
    47,490x = 65,534.92 × 27,075.76
  4. Step 4: Simplify right side
    47,490x = 1,774,407,765.54
  5. Step 5: Solve for x
    x = 1,774,407,765.54/47,490
  6. Step 6: Final answer
    x = 37,363.82

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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.