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Finding the Fourth Proportional to 35,831.64, 53,748 and 12,458.88

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Solution

The fourth proportional to 35,831.64, 53,748 and 12,458.88 is: 18,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,831.64 : 53,748 = 12,458.88 : x
  2. Step 2: Convert to fraction form
    35,831.64/53,748 = 12,458.88/x
  3. Step 3: Cross multiply
    35,831.64x = 53,748 × 12,458.88
  4. Step 4: Simplify right side
    35,831.64x = 669,639,882.24
  5. Step 5: Solve for x
    x = 669,639,882.24/35,831.64
  6. Step 6: Final answer
    x = 18,688.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.