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Finding the Fourth Proportional to 66,962.94, 92,385.95 and 38,262

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Solution

The fourth proportional to 66,962.94, 92,385.95 and 38,262 is: 52,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,962.94 : 92,385.95 = 38,262 : x
  2. Step 2: Convert to fraction form
    66,962.94/92,385.95 = 38,262/x
  3. Step 3: Cross multiply
    66,962.94x = 92,385.95 × 38,262
  4. Step 4: Simplify right side
    66,962.94x = 3,534,871,218.90
  5. Step 5: Solve for x
    x = 3,534,871,218.90/66,962.94
  6. Step 6: Final answer
    x = 52,788.47

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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.