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Finding the Fourth Proportional to 47,315.58, 70,970.58 and 17,730.94

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Solution

The fourth proportional to 47,315.58, 70,970.58 and 17,730.94 is: 26,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,315.58 : 70,970.58 = 17,730.94 : x
  2. Step 2: Convert to fraction form
    47,315.58/70,970.58 = 17,730.94/x
  3. Step 3: Cross multiply
    47,315.58x = 70,970.58 × 17,730.94
  4. Step 4: Simplify right side
    47,315.58x = 1,258,375,095.75
  5. Step 5: Solve for x
    x = 1,258,375,095.75/47,315.58
  6. Step 6: Final answer
    x = 26,595.36

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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.