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Finding the Fourth Proportional to 31,354.54, 47,038.29 and 10,577.50

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Solution

The fourth proportional to 31,354.54, 47,038.29 and 10,577.50 is: 15,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.54 : 47,038.29 = 10,577.50 : x
  2. Step 2: Convert to fraction form
    31,354.54/47,038.29 = 10,577.50/x
  3. Step 3: Cross multiply
    31,354.54x = 47,038.29 × 10,577.50
  4. Step 4: Simplify right side
    31,354.54x = 497,547,512.48
  5. Step 5: Solve for x
    x = 497,547,512.48/31,354.54
  6. Step 6: Final answer
    x = 15,868.44

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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.