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Finding the Fourth Proportional to 70,646.94, 97,495.20 and 38,817

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Solution

The fourth proportional to 70,646.94, 97,495.20 and 38,817 is: 53,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646.94 : 97,495.20 = 38,817 : x
  2. Step 2: Convert to fraction form
    70,646.94/97,495.20 = 38,817/x
  3. Step 3: Cross multiply
    70,646.94x = 97,495.20 × 38,817
  4. Step 4: Simplify right side
    70,646.94x = 3,784,471,178.40
  5. Step 5: Solve for x
    x = 3,784,471,178.40/70,646.94
  6. Step 6: Final answer
    x = 53,568.79

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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.