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Finding the Fourth Proportional to 43,447, 59,956.86 and 23,575

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Solution

The fourth proportional to 43,447, 59,956.86 and 23,575 is: 32,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,447 : 59,956.86 = 23,575 : x
  2. Step 2: Convert to fraction form
    43,447/59,956.86 = 23,575/x
  3. Step 3: Cross multiply
    43,447x = 59,956.86 × 23,575
  4. Step 4: Simplify right side
    43,447x = 1,413,482,974.50
  5. Step 5: Solve for x
    x = 1,413,482,974.50/43,447
  6. Step 6: Final answer
    x = 32,533.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.