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Finding the Fourth Proportional to 70,657.84, 97,510.44 and 38,829.76

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Solution

The fourth proportional to 70,657.84, 97,510.44 and 38,829.76 is: 53,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.84 : 97,510.44 = 38,829.76 : x
  2. Step 2: Convert to fraction form
    70,657.84/97,510.44 = 38,829.76/x
  3. Step 3: Cross multiply
    70,657.84x = 97,510.44 × 38,829.76
  4. Step 4: Simplify right side
    70,657.84x = 3,786,306,982.69
  5. Step 5: Solve for x
    x = 3,786,306,982.69/70,657.84
  6. Step 6: Final answer
    x = 53,586.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.