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Finding the Fourth Proportional to 72,277.68, 99,730.08 and 41,646

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Solution

The fourth proportional to 72,277.68, 99,730.08 and 41,646 is: 57,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,277.68 : 99,730.08 = 41,646 : x
  2. Step 2: Convert to fraction form
    72,277.68/99,730.08 = 41,646/x
  3. Step 3: Cross multiply
    72,277.68x = 99,730.08 × 41,646
  4. Step 4: Simplify right side
    72,277.68x = 4,153,358,911.68
  5. Step 5: Solve for x
    x = 4,153,358,911.68/72,277.68
  6. Step 6: Final answer
    x = 57,463.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.