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Finding the Fourth Proportional to 28,358.76, 42,547.92 and 10,831.20

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Solution

The fourth proportional to 28,358.76, 42,547.92 and 10,831.20 is: 16,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,358.76 : 42,547.92 = 10,831.20 : x
  2. Step 2: Convert to fraction form
    28,358.76/42,547.92 = 10,831.20/x
  3. Step 3: Cross multiply
    28,358.76x = 42,547.92 × 10,831.20
  4. Step 4: Simplify right side
    28,358.76x = 460,845,031.10
  5. Step 5: Solve for x
    x = 460,845,031.10/28,358.76
  6. Step 6: Final answer
    x = 16,250.54

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Why These Related Problems?

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