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Finding the Fourth Proportional to 33,507, 46,326.06 and 32,038.20

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Solution

The fourth proportional to 33,507, 46,326.06 and 32,038.20 is: 44,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507 : 46,326.06 = 32,038.20 : x
  2. Step 2: Convert to fraction form
    33,507/46,326.06 = 32,038.20/x
  3. Step 3: Cross multiply
    33,507x = 46,326.06 × 32,038.20
  4. Step 4: Simplify right side
    33,507x = 1,484,203,575.49
  5. Step 5: Solve for x
    x = 1,484,203,575.49/33,507
  6. Step 6: Final answer
    x = 44,295.33

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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.