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Finding the Fourth Proportional to 52,005.60, 78,008.40 and 16,948.80

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Solution

The fourth proportional to 52,005.60, 78,008.40 and 16,948.80 is: 25,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.60 : 78,008.40 = 16,948.80 : x
  2. Step 2: Convert to fraction form
    52,005.60/78,008.40 = 16,948.80/x
  3. Step 3: Cross multiply
    52,005.60x = 78,008.40 × 16,948.80
  4. Step 4: Simplify right side
    52,005.60x = 1,322,148,769.92
  5. Step 5: Solve for x
    x = 1,322,148,769.92/52,005.60
  6. Step 6: Final answer
    x = 25,423.20

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1.5x scale

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.