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Finding the Fourth Proportional to 27,303.48, 40,952.97 and 7,582.50

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Solution

The fourth proportional to 27,303.48, 40,952.97 and 7,582.50 is: 11,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,303.48 : 40,952.97 = 7,582.50 : x
  2. Step 2: Convert to fraction form
    27,303.48/40,952.97 = 7,582.50/x
  3. Step 3: Cross multiply
    27,303.48x = 40,952.97 × 7,582.50
  4. Step 4: Simplify right side
    27,303.48x = 310,525,895.03
  5. Step 5: Solve for x
    x = 310,525,895.03/27,303.48
  6. Step 6: Final answer
    x = 11,373.13

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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.