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Finding the Fourth Proportional to 52,000.10, 78,000.15 and 31,004.90

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Solution

The fourth proportional to 52,000.10, 78,000.15 and 31,004.90 is: 46,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,000.10 : 78,000.15 = 31,004.90 : x
  2. Step 2: Convert to fraction form
    52,000.10/78,000.15 = 31,004.90/x
  3. Step 3: Cross multiply
    52,000.10x = 78,000.15 × 31,004.90
  4. Step 4: Simplify right side
    52,000.10x = 2,418,386,850.74
  5. Step 5: Solve for x
    x = 2,418,386,850.74/52,000.10
  6. Step 6: Final answer
    x = 46,507.35

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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.