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Finding the Fourth Proportional to 65,705.16, 98,466.84 and 56,918.28

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Solution

The fourth proportional to 65,705.16, 98,466.84 and 56,918.28 is: 85,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,705.16 : 98,466.84 = 56,918.28 : x
  2. Step 2: Convert to fraction form
    65,705.16/98,466.84 = 56,918.28/x
  3. Step 3: Cross multiply
    65,705.16x = 98,466.84 × 56,918.28
  4. Step 4: Simplify right side
    65,705.16x = 5,604,563,169.84
  5. Step 5: Solve for x
    x = 5,604,563,169.84/65,705.16
  6. Step 6: Final answer
    x = 85,298.68

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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.