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Finding the Fourth Proportional to 70,592.46, 97,427.79 and 42,300.78

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Solution

The fourth proportional to 70,592.46, 97,427.79 and 42,300.78 is: 58,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,592.46 : 97,427.79 = 42,300.78 : x
  2. Step 2: Convert to fraction form
    70,592.46/97,427.79 = 42,300.78/x
  3. Step 3: Cross multiply
    70,592.46x = 97,427.79 × 42,300.78
  4. Step 4: Simplify right side
    70,592.46x = 4,121,271,510.68
  5. Step 5: Solve for x
    x = 4,121,271,510.68/70,592.46
  6. Step 6: Final answer
    x = 58,381.19

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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.