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Finding the Fourth Proportional to 46,128, 63,656.64 and 26,259.84

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Solution

The fourth proportional to 46,128, 63,656.64 and 26,259.84 is: 36,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,128 : 63,656.64 = 26,259.84 : x
  2. Step 2: Convert to fraction form
    46,128/63,656.64 = 26,259.84/x
  3. Step 3: Cross multiply
    46,128x = 63,656.64 × 26,259.84
  4. Step 4: Simplify right side
    46,128x = 1,671,613,181.34
  5. Step 5: Solve for x
    x = 1,671,613,181.34/46,128
  6. Step 6: Final answer
    x = 36,238.58

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1.5x scale

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.