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Finding the Fourth Proportional to 97,083, 145,624.32 and 55,500.84

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Solution

The fourth proportional to 97,083, 145,624.32 and 55,500.84 is: 83,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,083 : 145,624.32 = 55,500.84 : x
  2. Step 2: Convert to fraction form
    97,083/145,624.32 = 55,500.84/x
  3. Step 3: Cross multiply
    97,083x = 145,624.32 × 55,500.84
  4. Step 4: Simplify right side
    97,083x = 8,082,272,084.43
  5. Step 5: Solve for x
    x = 8,082,272,084.43/97,083
  6. Step 6: Final answer
    x = 83,251.16

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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.