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Finding the Fourth Proportional to 98,964.64, 148,462.80 and 32,389.12

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Solution

The fourth proportional to 98,964.64, 148,462.80 and 32,389.12 is: 48,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964.64 : 148,462.80 = 32,389.12 : x
  2. Step 2: Convert to fraction form
    98,964.64/148,462.80 = 32,389.12/x
  3. Step 3: Cross multiply
    98,964.64x = 148,462.80 × 32,389.12
  4. Step 4: Simplify right side
    98,964.64x = 4,808,579,444.74
  5. Step 5: Solve for x
    x = 4,808,579,444.74/98,964.64
  6. Step 6: Final answer
    x = 48,588.86

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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.