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Finding the Fourth Proportional to 97,298.32, 145,956.12 and 34,986.64

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Solution

The fourth proportional to 97,298.32, 145,956.12 and 34,986.64 is: 52,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,298.32 : 145,956.12 = 34,986.64 : x
  2. Step 2: Convert to fraction form
    97,298.32/145,956.12 = 34,986.64/x
  3. Step 3: Cross multiply
    97,298.32x = 145,956.12 × 34,986.64
  4. Step 4: Simplify right side
    97,298.32x = 5,106,514,226.24
  5. Step 5: Solve for x
    x = 5,106,514,226.24/97,298.32
  6. Step 6: Final answer
    x = 52,483.07

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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.