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Finding the Fourth Proportional to 52,401.60, 78,602.40 and 31,406.40

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Solution

The fourth proportional to 52,401.60, 78,602.40 and 31,406.40 is: 47,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,401.60 : 78,602.40 = 31,406.40 : x
  2. Step 2: Convert to fraction form
    52,401.60/78,602.40 = 31,406.40/x
  3. Step 3: Cross multiply
    52,401.60x = 78,602.40 × 31,406.40
  4. Step 4: Simplify right side
    52,401.60x = 2,468,618,415.36
  5. Step 5: Solve for x
    x = 2,468,618,415.36/52,401.60
  6. Step 6: Final answer
    x = 47,109.60

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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.