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Finding the Fourth Proportional to 55,228.84, 82,810.05 and 24,828.40

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Solution

The fourth proportional to 55,228.84, 82,810.05 and 24,828.40 is: 37,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,228.84 : 82,810.05 = 24,828.40 : x
  2. Step 2: Convert to fraction form
    55,228.84/82,810.05 = 24,828.40/x
  3. Step 3: Cross multiply
    55,228.84x = 82,810.05 × 24,828.40
  4. Step 4: Simplify right side
    55,228.84x = 2,056,041,045.42
  5. Step 5: Solve for x
    x = 2,056,041,045.42/55,228.84
  6. Step 6: Final answer
    x = 37,227.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.