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Finding the Fourth Proportional to 65,134.20, 97,442.10 and 56,465.40

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Solution

The fourth proportional to 65,134.20, 97,442.10 and 56,465.40 is: 84,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,134.20 : 97,442.10 = 56,465.40 : x
  2. Step 2: Convert to fraction form
    65,134.20/97,442.10 = 56,465.40/x
  3. Step 3: Cross multiply
    65,134.20x = 97,442.10 × 56,465.40
  4. Step 4: Simplify right side
    65,134.20x = 5,502,107,153.34
  5. Step 5: Solve for x
    x = 5,502,107,153.34/65,134.20
  6. Step 6: Final answer
    x = 84,473.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.