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Finding the Fourth Proportional to 70,295.86, 97,008.29 and 38,464.76

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Solution

The fourth proportional to 70,295.86, 97,008.29 and 38,464.76 is: 53,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,295.86 : 97,008.29 = 38,464.76 : x
  2. Step 2: Convert to fraction form
    70,295.86/97,008.29 = 38,464.76/x
  3. Step 3: Cross multiply
    70,295.86x = 97,008.29 × 38,464.76
  4. Step 4: Simplify right side
    70,295.86x = 3,731,400,279.28
  5. Step 5: Solve for x
    x = 3,731,400,279.28/70,295.86
  6. Step 6: Final answer
    x = 53,081.37

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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.