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Finding the Fourth Proportional to 67,496, 93,144.48 and 37,688

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Solution

The fourth proportional to 67,496, 93,144.48 and 37,688 is: 52,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,496 : 93,144.48 = 37,688 : x
  2. Step 2: Convert to fraction form
    67,496/93,144.48 = 37,688/x
  3. Step 3: Cross multiply
    67,496x = 93,144.48 × 37,688
  4. Step 4: Simplify right side
    67,496x = 3,510,429,162.24
  5. Step 5: Solve for x
    x = 3,510,429,162.24/67,496
  6. Step 6: Final answer
    x = 52,009.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.