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Finding the Fourth Proportional to 70,298.87, 97,012.42 and 38,467.76

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Solution

The fourth proportional to 70,298.87, 97,012.42 and 38,467.76 is: 53,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,298.87 : 97,012.42 = 38,467.76 : x
  2. Step 2: Convert to fraction form
    70,298.87/97,012.42 = 38,467.76/x
  3. Step 3: Cross multiply
    70,298.87x = 97,012.42 × 38,467.76
  4. Step 4: Simplify right side
    70,298.87x = 3,731,849,908.35
  5. Step 5: Solve for x
    x = 3,731,849,908.35/70,298.87
  6. Step 6: Final answer
    x = 53,085.49

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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.