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Finding the Fourth Proportional to 54,196.60, 81,294.90 and 46,809.40

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Solution

The fourth proportional to 54,196.60, 81,294.90 and 46,809.40 is: 70,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,196.60 : 81,294.90 = 46,809.40 : x
  2. Step 2: Convert to fraction form
    54,196.60/81,294.90 = 46,809.40/x
  3. Step 3: Cross multiply
    54,196.60x = 81,294.90 × 46,809.40
  4. Step 4: Simplify right side
    54,196.60x = 3,805,365,492.06
  5. Step 5: Solve for x
    x = 3,805,365,492.06/54,196.60
  6. Step 6: Final answer
    x = 70,214.10

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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.