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Finding the Fourth Proportional to 46,705.48, 70,031.32 and 31,932.32

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Solution

The fourth proportional to 46,705.48, 70,031.32 and 31,932.32 is: 47,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,705.48 : 70,031.32 = 31,932.32 : x
  2. Step 2: Convert to fraction form
    46,705.48/70,031.32 = 31,932.32/x
  3. Step 3: Cross multiply
    46,705.48x = 70,031.32 × 31,932.32
  4. Step 4: Simplify right side
    46,705.48x = 2,236,262,520.26
  5. Step 5: Solve for x
    x = 2,236,262,520.26/46,705.48
  6. Step 6: Final answer
    x = 47,880.09

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1.5x scale

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.