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Finding the Fourth Proportional to 99,327.60, 148,861.80 and 46,013.40

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Solution

The fourth proportional to 99,327.60, 148,861.80 and 46,013.40 is: 68,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,327.60 : 148,861.80 = 46,013.40 : x
  2. Step 2: Convert to fraction form
    99,327.60/148,861.80 = 46,013.40/x
  3. Step 3: Cross multiply
    99,327.60x = 148,861.80 × 46,013.40
  4. Step 4: Simplify right side
    99,327.60x = 6,849,637,548.12
  5. Step 5: Solve for x
    x = 6,849,637,548.12/99,327.60
  6. Step 6: Final answer
    x = 68,960.06

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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.