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Finding the Fourth Proportional to 32,907.65, 45,412.95 and 19,983.26

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Solution

The fourth proportional to 32,907.65, 45,412.95 and 19,983.26 is: 27,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907.65 : 45,412.95 = 19,983.26 : x
  2. Step 2: Convert to fraction form
    32,907.65/45,412.95 = 19,983.26/x
  3. Step 3: Cross multiply
    32,907.65x = 45,412.95 × 19,983.26
  4. Step 4: Simplify right side
    32,907.65x = 907,498,787.22
  5. Step 5: Solve for x
    x = 907,498,787.22/32,907.65
  6. Step 6: Final answer
    x = 27,577.14

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1.5x scale

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.