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Finding the Fourth Proportional to 71,655.65, 107,483.32 and 19,065.14

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Solution

The fourth proportional to 71,655.65, 107,483.32 and 19,065.14 is: 28,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,655.65 : 107,483.32 = 19,065.14 : x
  2. Step 2: Convert to fraction form
    71,655.65/107,483.32 = 19,065.14/x
  3. Step 3: Cross multiply
    71,655.65x = 107,483.32 × 19,065.14
  4. Step 4: Simplify right side
    71,655.65x = 2,049,184,543.46
  5. Step 5: Solve for x
    x = 2,049,184,543.46/71,655.65
  6. Step 6: Final answer
    x = 28,597.67

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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.