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Finding the Fourth Proportional to 65,206.40, 97,809.60 and 57,689.60

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Solution

The fourth proportional to 65,206.40, 97,809.60 and 57,689.60 is: 86,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.40 : 97,809.60 = 57,689.60 : x
  2. Step 2: Convert to fraction form
    65,206.40/97,809.60 = 57,689.60/x
  3. Step 3: Cross multiply
    65,206.40x = 97,809.60 × 57,689.60
  4. Step 4: Simplify right side
    65,206.40x = 5,642,596,700.16
  5. Step 5: Solve for x
    x = 5,642,596,700.16/65,206.40
  6. Step 6: Final answer
    x = 86,534.40

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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.