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Finding the Fourth Proportional to 99,281.60, 148,936.80 and 32,710.40

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Solution

The fourth proportional to 99,281.60, 148,936.80 and 32,710.40 is: 49,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,281.60 : 148,936.80 = 32,710.40 : x
  2. Step 2: Convert to fraction form
    99,281.60/148,936.80 = 32,710.40/x
  3. Step 3: Cross multiply
    99,281.60x = 148,936.80 × 32,710.40
  4. Step 4: Simplify right side
    99,281.60x = 4,871,782,302.72
  5. Step 5: Solve for x
    x = 4,871,782,302.72/99,281.60
  6. Step 6: Final answer
    x = 49,070.34

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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.