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Finding the Fourth Proportional to 70,883.64, 97,798.58 and 42,188.88

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Solution

The fourth proportional to 70,883.64, 97,798.58 and 42,188.88 is: 58,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,883.64 : 97,798.58 = 42,188.88 : x
  2. Step 2: Convert to fraction form
    70,883.64/97,798.58 = 42,188.88/x
  3. Step 3: Cross multiply
    70,883.64x = 97,798.58 × 42,188.88
  4. Step 4: Simplify right side
    70,883.64x = 4,126,011,985.30
  5. Step 5: Solve for x
    x = 4,126,011,985.30/70,883.64
  6. Step 6: Final answer
    x = 58,208.24

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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.