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Finding the Fourth Proportional to 65,205.80, 97,808.70 and 35,607.49

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Solution

The fourth proportional to 65,205.80, 97,808.70 and 35,607.49 is: 53,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.80 : 97,808.70 = 35,607.49 : x
  2. Step 2: Convert to fraction form
    65,205.80/97,808.70 = 35,607.49/x
  3. Step 3: Cross multiply
    65,205.80x = 97,808.70 × 35,607.49
  4. Step 4: Simplify right side
    65,205.80x = 3,482,722,307.16
  5. Step 5: Solve for x
    x = 3,482,722,307.16/65,205.80
  6. Step 6: Final answer
    x = 53,411.24

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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.