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Finding the Fourth Proportional to 47,271.60, 70,813.80 and 30,643.20

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Solution

The fourth proportional to 47,271.60, 70,813.80 and 30,643.20 is: 45,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,271.60 : 70,813.80 = 30,643.20 : x
  2. Step 2: Convert to fraction form
    47,271.60/70,813.80 = 30,643.20/x
  3. Step 3: Cross multiply
    47,271.60x = 70,813.80 × 30,643.20
  4. Step 4: Simplify right side
    47,271.60x = 2,169,961,436.16
  5. Step 5: Solve for x
    x = 2,169,961,436.16/47,271.60
  6. Step 6: Final answer
    x = 45,904.13

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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.