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Finding the Fourth Proportional to 52,970.54, 79,455.72 and 13,527.66

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Solution

The fourth proportional to 52,970.54, 79,455.72 and 13,527.66 is: 20,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,970.54 : 79,455.72 = 13,527.66 : x
  2. Step 2: Convert to fraction form
    52,970.54/79,455.72 = 13,527.66/x
  3. Step 3: Cross multiply
    52,970.54x = 79,455.72 × 13,527.66
  4. Step 4: Simplify right side
    52,970.54x = 1,074,849,965.22
  5. Step 5: Solve for x
    x = 1,074,849,965.22/52,970.54
  6. Step 6: Final answer
    x = 20,291.47

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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.