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Finding the Fourth Proportional to 32,988.48, 49,488.48 and 14,520

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Solution

The fourth proportional to 32,988.48, 49,488.48 and 14,520 is: 21,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988.48 : 49,488.48 = 14,520 : x
  2. Step 2: Convert to fraction form
    32,988.48/49,488.48 = 14,520/x
  3. Step 3: Cross multiply
    32,988.48x = 49,488.48 × 14,520
  4. Step 4: Simplify right side
    32,988.48x = 718,572,729.60
  5. Step 5: Solve for x
    x = 718,572,729.60/32,988.48
  6. Step 6: Final answer
    x = 21,782.54

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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.