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Finding the Fourth Proportional to 45,590.76, 68,407.74 and 31,572.36

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Solution

The fourth proportional to 45,590.76, 68,407.74 and 31,572.36 is: 47,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,590.76 : 68,407.74 = 31,572.36 : x
  2. Step 2: Convert to fraction form
    45,590.76/68,407.74 = 31,572.36/x
  3. Step 3: Cross multiply
    45,590.76x = 68,407.74 × 31,572.36
  4. Step 4: Simplify right side
    45,590.76x = 2,159,793,794.07
  5. Step 5: Solve for x
    x = 2,159,793,794.07/45,590.76
  6. Step 6: Final answer
    x = 47,373.50

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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.