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Finding the Fourth Proportional to 31,503.80, 47,547.40 and 31,503.80

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Solution

The fourth proportional to 31,503.80, 47,547.40 and 31,503.80 is: 47,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.80 : 47,547.40 = 31,503.80 : x
  2. Step 2: Convert to fraction form
    31,503.80/47,547.40 = 31,503.80/x
  3. Step 3: Cross multiply
    31,503.80x = 47,547.40 × 31,503.80
  4. Step 4: Simplify right side
    31,503.80x = 1,497,923,780.12
  5. Step 5: Solve for x
    x = 1,497,923,780.12/31,503.80
  6. Step 6: Final answer
    x = 47,547.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.