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Finding the Fourth Proportional to 57,088.98, 85,624.83 and 19,643.22

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Solution

The fourth proportional to 57,088.98, 85,624.83 and 19,643.22 is: 29,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,088.98 : 85,624.83 = 19,643.22 : x
  2. Step 2: Convert to fraction form
    57,088.98/85,624.83 = 19,643.22/x
  3. Step 3: Cross multiply
    57,088.98x = 85,624.83 × 19,643.22
  4. Step 4: Simplify right side
    57,088.98x = 1,681,947,373.15
  5. Step 5: Solve for x
    x = 1,681,947,373.15/57,088.98
  6. Step 6: Final answer
    x = 29,461.86

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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.