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Finding the Fourth Proportional to 52,415.40, 78,623.10 and 31,420.20

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Solution

The fourth proportional to 52,415.40, 78,623.10 and 31,420.20 is: 47,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,415.40 : 78,623.10 = 31,420.20 : x
  2. Step 2: Convert to fraction form
    52,415.40/78,623.10 = 31,420.20/x
  3. Step 3: Cross multiply
    52,415.40x = 78,623.10 × 31,420.20
  4. Step 4: Simplify right side
    52,415.40x = 2,470,353,526.62
  5. Step 5: Solve for x
    x = 2,470,353,526.62/52,415.40
  6. Step 6: Final answer
    x = 47,130.30

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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.