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Finding the Fourth Proportional to 58,157.90, 87,237.29 and 31,848.29

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Solution

The fourth proportional to 58,157.90, 87,237.29 and 31,848.29 is: 47,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,157.90 : 87,237.29 = 31,848.29 : x
  2. Step 2: Convert to fraction form
    58,157.90/87,237.29 = 31,848.29/x
  3. Step 3: Cross multiply
    58,157.90x = 87,237.29 × 31,848.29
  4. Step 4: Simplify right side
    58,157.90x = 2,778,358,302.16
  5. Step 5: Solve for x
    x = 2,778,358,302.16/58,157.90
  6. Step 6: Final answer
    x = 47,772.67

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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.