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Finding the Fourth Proportional to 32,652.16, 45,060.16 and 19,224

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Solution

The fourth proportional to 32,652.16, 45,060.16 and 19,224 is: 26,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.16 : 45,060.16 = 19,224 : x
  2. Step 2: Convert to fraction form
    32,652.16/45,060.16 = 19,224/x
  3. Step 3: Cross multiply
    32,652.16x = 45,060.16 × 19,224
  4. Step 4: Simplify right side
    32,652.16x = 866,236,515.84
  5. Step 5: Solve for x
    x = 866,236,515.84/32,652.16
  6. Step 6: Final answer
    x = 26,529.23

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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.