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Finding the Fourth Proportional to 77,075.76, 115,613.64 and 21,671.76

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Solution

The fourth proportional to 77,075.76, 115,613.64 and 21,671.76 is: 32,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075.76 : 115,613.64 = 21,671.76 : x
  2. Step 2: Convert to fraction form
    77,075.76/115,613.64 = 21,671.76/x
  3. Step 3: Cross multiply
    77,075.76x = 115,613.64 × 21,671.76
  4. Step 4: Simplify right side
    77,075.76x = 2,505,551,058.81
  5. Step 5: Solve for x
    x = 2,505,551,058.81/77,075.76
  6. Step 6: Final answer
    x = 32,507.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.