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Finding the Fourth Proportional to 70,264.80, 105,386.16 and 22,881.60

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Solution

The fourth proportional to 70,264.80, 105,386.16 and 22,881.60 is: 34,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,264.80 : 105,386.16 = 22,881.60 : x
  2. Step 2: Convert to fraction form
    70,264.80/105,386.16 = 22,881.60/x
  3. Step 3: Cross multiply
    70,264.80x = 105,386.16 × 22,881.60
  4. Step 4: Simplify right side
    70,264.80x = 2,411,403,958.66
  5. Step 5: Solve for x
    x = 2,411,403,958.66/70,264.80
  6. Step 6: Final answer
    x = 34,318.80

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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.