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Finding the Fourth Proportional to 58,210.40, 87,315.60 and 46,546.40

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Solution

The fourth proportional to 58,210.40, 87,315.60 and 46,546.40 is: 69,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,210.40 : 87,315.60 = 46,546.40 : x
  2. Step 2: Convert to fraction form
    58,210.40/87,315.60 = 46,546.40/x
  3. Step 3: Cross multiply
    58,210.40x = 87,315.60 × 46,546.40
  4. Step 4: Simplify right side
    58,210.40x = 4,064,226,843.84
  5. Step 5: Solve for x
    x = 4,064,226,843.84/58,210.40
  6. Step 6: Final answer
    x = 69,819.60

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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.