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Finding the Fourth Proportional to 35,582.74, 53,374.14 and 9,287.44

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Solution

The fourth proportional to 35,582.74, 53,374.14 and 9,287.44 is: 13,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,582.74 : 53,374.14 = 9,287.44 : x
  2. Step 2: Convert to fraction form
    35,582.74/53,374.14 = 9,287.44/x
  3. Step 3: Cross multiply
    35,582.74x = 53,374.14 × 9,287.44
  4. Step 4: Simplify right side
    35,582.74x = 495,709,122.80
  5. Step 5: Solve for x
    x = 495,709,122.80/35,582.74
  6. Step 6: Final answer
    x = 13,931.17

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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.