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Finding the Fourth Proportional to 65,116.80, 97,598.40 and 48,681.60

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Solution

The fourth proportional to 65,116.80, 97,598.40 and 48,681.60 is: 72,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.80 : 97,598.40 = 48,681.60 : x
  2. Step 2: Convert to fraction form
    65,116.80/97,598.40 = 48,681.60/x
  3. Step 3: Cross multiply
    65,116.80x = 97,598.40 × 48,681.60
  4. Step 4: Simplify right side
    65,116.80x = 4,751,246,269.44
  5. Step 5: Solve for x
    x = 4,751,246,269.44/65,116.80
  6. Step 6: Final answer
    x = 72,964.98

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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.