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Finding the Fourth Proportional to 46,254, 63,830.52 and 26,382

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Solution

The fourth proportional to 46,254, 63,830.52 and 26,382 is: 36,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,254 : 63,830.52 = 26,382 : x
  2. Step 2: Convert to fraction form
    46,254/63,830.52 = 26,382/x
  3. Step 3: Cross multiply
    46,254x = 63,830.52 × 26,382
  4. Step 4: Simplify right side
    46,254x = 1,683,976,778.64
  5. Step 5: Solve for x
    x = 1,683,976,778.64/46,254
  6. Step 6: Final answer
    x = 36,407.16

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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.