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Finding the Fourth Proportional to 42,409.60, 63,624.94 and 29,953.94

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Solution

The fourth proportional to 42,409.60, 63,624.94 and 29,953.94 is: 44,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.60 : 63,624.94 = 29,953.94 : x
  2. Step 2: Convert to fraction form
    42,409.60/63,624.94 = 29,953.94/x
  3. Step 3: Cross multiply
    42,409.60x = 63,624.94 × 29,953.94
  4. Step 4: Simplify right side
    42,409.60x = 1,905,817,242.25
  5. Step 5: Solve for x
    x = 1,905,817,242.25/42,409.60
  6. Step 6: Final answer
    x = 44,938.35

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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.