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Finding the Fourth Proportional to 46,432, 64,076.16 and 26,560

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Solution

The fourth proportional to 46,432, 64,076.16 and 26,560 is: 36,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,432 : 64,076.16 = 26,560 : x
  2. Step 2: Convert to fraction form
    46,432/64,076.16 = 26,560/x
  3. Step 3: Cross multiply
    46,432x = 64,076.16 × 26,560
  4. Step 4: Simplify right side
    46,432x = 1,701,862,809.60
  5. Step 5: Solve for x
    x = 1,701,862,809.60/46,432
  6. Step 6: Final answer
    x = 36,652.80

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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.