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Finding the Fourth Proportional to 39,164.53, 58,746.52 and 9,582.79

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Solution

The fourth proportional to 39,164.53, 58,746.52 and 9,582.79 is: 14,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,164.53 : 58,746.52 = 9,582.79 : x
  2. Step 2: Convert to fraction form
    39,164.53/58,746.52 = 9,582.79/x
  3. Step 3: Cross multiply
    39,164.53x = 58,746.52 × 9,582.79
  4. Step 4: Simplify right side
    39,164.53x = 562,955,564.39
  5. Step 5: Solve for x
    x = 562,955,564.39/39,164.53
  6. Step 6: Final answer
    x = 14,374.12

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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.