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Finding the Fourth Proportional to 77,798.80, 116,429.40 and 46,656.40

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Solution

The fourth proportional to 77,798.80, 116,429.40 and 46,656.40 is: 69,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798.80 : 116,429.40 = 46,656.40 : x
  2. Step 2: Convert to fraction form
    77,798.80/116,429.40 = 46,656.40/x
  3. Step 3: Cross multiply
    77,798.80x = 116,429.40 × 46,656.40
  4. Step 4: Simplify right side
    77,798.80x = 5,432,176,658.16
  5. Step 5: Solve for x
    x = 5,432,176,658.16/77,798.80
  6. Step 6: Final answer
    x = 69,823.40

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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.