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Finding the Fourth Proportional to 30,526.32, 45,810 and 10,804.80

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Solution

The fourth proportional to 30,526.32, 45,810 and 10,804.80 is: 16,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,526.32 : 45,810 = 10,804.80 : x
  2. Step 2: Convert to fraction form
    30,526.32/45,810 = 10,804.80/x
  3. Step 3: Cross multiply
    30,526.32x = 45,810 × 10,804.80
  4. Step 4: Simplify right side
    30,526.32x = 494,967,888.00
  5. Step 5: Solve for x
    x = 494,967,888.00/30,526.32
  6. Step 6: Final answer
    x = 16,214.46

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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.