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Finding the Fourth Proportional to 46,807.80, 70,211.70 and 31,774.20

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Solution

The fourth proportional to 46,807.80, 70,211.70 and 31,774.20 is: 47,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,807.80 : 70,211.70 = 31,774.20 : x
  2. Step 2: Convert to fraction form
    46,807.80/70,211.70 = 31,774.20/x
  3. Step 3: Cross multiply
    46,807.80x = 70,211.70 × 31,774.20
  4. Step 4: Simplify right side
    46,807.80x = 2,230,920,598.14
  5. Step 5: Solve for x
    x = 2,230,920,598.14/46,807.80
  6. Step 6: Final answer
    x = 47,661.30

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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.