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Finding the Fourth Proportional to 46,640.72, 64,425.76 and 34,565.76

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Solution

The fourth proportional to 46,640.72, 64,425.76 and 34,565.76 is: 47,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,640.72 : 64,425.76 = 34,565.76 : x
  2. Step 2: Convert to fraction form
    46,640.72/64,425.76 = 34,565.76/x
  3. Step 3: Cross multiply
    46,640.72x = 64,425.76 × 34,565.76
  4. Step 4: Simplify right side
    46,640.72x = 2,226,925,357.98
  5. Step 5: Solve for x
    x = 2,226,925,357.98/46,640.72
  6. Step 6: Final answer
    x = 47,746.38

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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.