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Finding the Fourth Proportional to 65,412.80, 97,924.80 and 58,414.40

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Solution

The fourth proportional to 65,412.80, 97,924.80 and 58,414.40 is: 87,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412.80 : 97,924.80 = 58,414.40 : x
  2. Step 2: Convert to fraction form
    65,412.80/97,924.80 = 58,414.40/x
  3. Step 3: Cross multiply
    65,412.80x = 97,924.80 × 58,414.40
  4. Step 4: Simplify right side
    65,412.80x = 5,720,218,437.12
  5. Step 5: Solve for x
    x = 5,720,218,437.12/65,412.80
  6. Step 6: Final answer
    x = 87,448.00

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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.