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Finding the Fourth Proportional to 53,433.60, 73,725.12 and 34,548

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Solution

The fourth proportional to 53,433.60, 73,725.12 and 34,548 is: 47,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,433.60 : 73,725.12 = 34,548 : x
  2. Step 2: Convert to fraction form
    53,433.60/73,725.12 = 34,548/x
  3. Step 3: Cross multiply
    53,433.60x = 73,725.12 × 34,548
  4. Step 4: Simplify right side
    53,433.60x = 2,547,055,445.76
  5. Step 5: Solve for x
    x = 2,547,055,445.76/53,433.60
  6. Step 6: Final answer
    x = 47,667.67

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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.