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Finding the Fourth Proportional to 52,962.48, 79,421.04 and 19,684.80

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Solution

The fourth proportional to 52,962.48, 79,421.04 and 19,684.80 is: 29,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,962.48 : 79,421.04 = 19,684.80 : x
  2. Step 2: Convert to fraction form
    52,962.48/79,421.04 = 19,684.80/x
  3. Step 3: Cross multiply
    52,962.48x = 79,421.04 × 19,684.80
  4. Step 4: Simplify right side
    52,962.48x = 1,563,387,288.19
  5. Step 5: Solve for x
    x = 1,563,387,288.19/52,962.48
  6. Step 6: Final answer
    x = 29,518.77

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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.