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Finding the Fourth Proportional to 28,477.48, 42,686.50 and 9,752

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Solution

The fourth proportional to 28,477.48, 42,686.50 and 9,752 is: 14,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,477.48 : 42,686.50 = 9,752 : x
  2. Step 2: Convert to fraction form
    28,477.48/42,686.50 = 9,752/x
  3. Step 3: Cross multiply
    28,477.48x = 42,686.50 × 9,752
  4. Step 4: Simplify right side
    28,477.48x = 416,278,748
  5. Step 5: Solve for x
    x = 416,278,748/28,477.48
  6. Step 6: Final answer
    x = 14,617.82

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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.