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Finding the Fourth Proportional to 99,533.60, 149,300.40 and 29,411.90

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Solution

The fourth proportional to 99,533.60, 149,300.40 and 29,411.90 is: 44,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.60 : 149,300.40 = 29,411.90 : x
  2. Step 2: Convert to fraction form
    99,533.60/149,300.40 = 29,411.90/x
  3. Step 3: Cross multiply
    99,533.60x = 149,300.40 × 29,411.90
  4. Step 4: Simplify right side
    99,533.60x = 4,391,208,434.76
  5. Step 5: Solve for x
    x = 4,391,208,434.76/99,533.60
  6. Step 6: Final answer
    x = 44,117.85

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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.