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Finding the Fourth Proportional to 70,533.84, 97,338.76 and 38,704.76

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Solution

The fourth proportional to 70,533.84, 97,338.76 and 38,704.76 is: 53,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,533.84 : 97,338.76 = 38,704.76 : x
  2. Step 2: Convert to fraction form
    70,533.84/97,338.76 = 38,704.76/x
  3. Step 3: Cross multiply
    70,533.84x = 97,338.76 × 38,704.76
  4. Step 4: Simplify right side
    70,533.84x = 3,767,473,344.50
  5. Step 5: Solve for x
    x = 3,767,473,344.50/70,533.84
  6. Step 6: Final answer
    x = 53,413.70

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1.5x scale

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.