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Finding the Fourth Proportional to 65,084.80, 97,400.40 and 38,808.40

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Solution

The fourth proportional to 65,084.80, 97,400.40 and 38,808.40 is: 58,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,084.80 : 97,400.40 = 38,808.40 : x
  2. Step 2: Convert to fraction form
    65,084.80/97,400.40 = 38,808.40/x
  3. Step 3: Cross multiply
    65,084.80x = 97,400.40 × 38,808.40
  4. Step 4: Simplify right side
    65,084.80x = 3,779,953,683.36
  5. Step 5: Solve for x
    x = 3,779,953,683.36/65,084.80
  6. Step 6: Final answer
    x = 58,077.36

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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.