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Finding the Fourth Proportional to 32,051.44, 48,075.76 and 9,867.07

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Solution

The fourth proportional to 32,051.44, 48,075.76 and 9,867.07 is: 14,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.44 : 48,075.76 = 9,867.07 : x
  2. Step 2: Convert to fraction form
    32,051.44/48,075.76 = 9,867.07/x
  3. Step 3: Cross multiply
    32,051.44x = 48,075.76 × 9,867.07
  4. Step 4: Simplify right side
    32,051.44x = 474,366,889.22
  5. Step 5: Solve for x
    x = 474,366,889.22/32,051.44
  6. Step 6: Final answer
    x = 14,800.17

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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.