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Finding the Fourth Proportional to 59,647.84, 82,316.14 and 34,158.76

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Solution

The fourth proportional to 59,647.84, 82,316.14 and 34,158.76 is: 47,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,647.84 : 82,316.14 = 34,158.76 : x
  2. Step 2: Convert to fraction form
    59,647.84/82,316.14 = 34,158.76/x
  3. Step 3: Cross multiply
    59,647.84x = 82,316.14 × 34,158.76
  4. Step 4: Simplify right side
    59,647.84x = 2,811,817,270.39
  5. Step 5: Solve for x
    x = 2,811,817,270.39/59,647.84
  6. Step 6: Final answer
    x = 47,140.30

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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.