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Finding the Fourth Proportional to 46,047.60, 69,070.68 and 22,656.96

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Solution

The fourth proportional to 46,047.60, 69,070.68 and 22,656.96 is: 33,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,047.60 : 69,070.68 = 22,656.96 : x
  2. Step 2: Convert to fraction form
    46,047.60/69,070.68 = 22,656.96/x
  3. Step 3: Cross multiply
    46,047.60x = 69,070.68 × 22,656.96
  4. Step 4: Simplify right side
    46,047.60x = 1,564,931,633.93
  5. Step 5: Solve for x
    x = 1,564,931,633.93/46,047.60
  6. Step 6: Final answer
    x = 33,985.09

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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.