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Finding the Fourth Proportional to 70,492.84, 97,281.48 and 38,661.76

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Solution

The fourth proportional to 70,492.84, 97,281.48 and 38,661.76 is: 53,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.84 : 97,281.48 = 38,661.76 : x
  2. Step 2: Convert to fraction form
    70,492.84/97,281.48 = 38,661.76/x
  3. Step 3: Cross multiply
    70,492.84x = 97,281.48 × 38,661.76
  4. Step 4: Simplify right side
    70,492.84x = 3,761,073,232.20
  5. Step 5: Solve for x
    x = 3,761,073,232.20/70,492.84
  6. Step 6: Final answer
    x = 53,353.98

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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.