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Finding the Fourth Proportional to 42,671.34, 64,008.18 and 11,506.50

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Solution

The fourth proportional to 42,671.34, 64,008.18 and 11,506.50 is: 17,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,671.34 : 64,008.18 = 11,506.50 : x
  2. Step 2: Convert to fraction form
    42,671.34/64,008.18 = 11,506.50/x
  3. Step 3: Cross multiply
    42,671.34x = 64,008.18 × 11,506.50
  4. Step 4: Simplify right side
    42,671.34x = 736,510,123.17
  5. Step 5: Solve for x
    x = 736,510,123.17/42,671.34
  6. Step 6: Final answer
    x = 17,260.07

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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.