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Finding the Fourth Proportional to 70,970.35, 106,437.37 and 21,038.78

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Solution

The fourth proportional to 70,970.35, 106,437.37 and 21,038.78 is: 31,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.35 : 106,437.37 = 21,038.78 : x
  2. Step 2: Convert to fraction form
    70,970.35/106,437.37 = 21,038.78/x
  3. Step 3: Cross multiply
    70,970.35x = 106,437.37 × 21,038.78
  4. Step 4: Simplify right side
    70,970.35x = 2,239,312,411.21
  5. Step 5: Solve for x
    x = 2,239,312,411.21/70,970.35
  6. Step 6: Final answer
    x = 31,552.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.