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Finding the Fourth Proportional to 97,508.84, 146,274.24 and 38,336.72

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Solution

The fourth proportional to 97,508.84, 146,274.24 and 38,336.72 is: 57,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,508.84 : 146,274.24 = 38,336.72 : x
  2. Step 2: Convert to fraction form
    97,508.84/146,274.24 = 38,336.72/x
  3. Step 3: Cross multiply
    97,508.84x = 146,274.24 × 38,336.72
  4. Step 4: Simplify right side
    97,508.84x = 5,607,674,582.09
  5. Step 5: Solve for x
    x = 5,607,674,582.09/97,508.84
  6. Step 6: Final answer
    x = 57,509.40

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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.