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Finding the Fourth Proportional to 54,492.84, 75,206.84 and 30,619

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Solution

The fourth proportional to 54,492.84, 75,206.84 and 30,619 is: 42,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,492.84 : 75,206.84 = 30,619 : x
  2. Step 2: Convert to fraction form
    54,492.84/75,206.84 = 30,619/x
  3. Step 3: Cross multiply
    54,492.84x = 75,206.84 × 30,619
  4. Step 4: Simplify right side
    54,492.84x = 2,302,758,233.96
  5. Step 5: Solve for x
    x = 2,302,758,233.96/54,492.84
  6. Step 6: Final answer
    x = 42,258.00

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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.