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Finding the Fourth Proportional to 32,577.40, 44,953 and 18,238.01

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Solution

The fourth proportional to 32,577.40, 44,953 and 18,238.01 is: 25,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.40 : 44,953 = 18,238.01 : x
  2. Step 2: Convert to fraction form
    32,577.40/44,953 = 18,238.01/x
  3. Step 3: Cross multiply
    32,577.40x = 44,953 × 18,238.01
  4. Step 4: Simplify right side
    32,577.40x = 819,853,263.53
  5. Step 5: Solve for x
    x = 819,853,263.53/32,577.40
  6. Step 6: Final answer
    x = 25,166.32

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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.