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Finding the Fourth Proportional to 65,259.75, 97,877.88 and 29,712.60

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Solution

The fourth proportional to 65,259.75, 97,877.88 and 29,712.60 is: 44,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,259.75 : 97,877.88 = 29,712.60 : x
  2. Step 2: Convert to fraction form
    65,259.75/97,877.88 = 29,712.60/x
  3. Step 3: Cross multiply
    65,259.75x = 97,877.88 × 29,712.60
  4. Step 4: Simplify right side
    65,259.75x = 2,908,206,297.29
  5. Step 5: Solve for x
    x = 2,908,206,297.29/65,259.75
  6. Step 6: Final answer
    x = 44,563.55

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1.5x scale

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.