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Finding the Fourth Proportional to 46,809.60, 70,339.20 and 25,766.40

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Solution

The fourth proportional to 46,809.60, 70,339.20 and 25,766.40 is: 38,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,809.60 : 70,339.20 = 25,766.40 : x
  2. Step 2: Convert to fraction form
    46,809.60/70,339.20 = 25,766.40/x
  3. Step 3: Cross multiply
    46,809.60x = 70,339.20 × 25,766.40
  4. Step 4: Simplify right side
    46,809.60x = 1,812,387,962.88
  5. Step 5: Solve for x
    x = 1,812,387,962.88/46,809.60
  6. Step 6: Final answer
    x = 38,718.30

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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.