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Finding the Fourth Proportional to 70,296.86, 97,009.66 and 38,465.76

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Solution

The fourth proportional to 70,296.86, 97,009.66 and 38,465.76 is: 53,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,296.86 : 97,009.66 = 38,465.76 : x
  2. Step 2: Convert to fraction form
    70,296.86/97,009.66 = 38,465.76/x
  3. Step 3: Cross multiply
    70,296.86x = 97,009.66 × 38,465.76
  4. Step 4: Simplify right side
    70,296.86x = 3,731,550,299.24
  5. Step 5: Solve for x
    x = 3,731,550,299.24/70,296.86
  6. Step 6: Final answer
    x = 53,082.75

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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.