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Finding the Fourth Proportional to 83,275.20, 114,914.88 and 45,547.20

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Solution

The fourth proportional to 83,275.20, 114,914.88 and 45,547.20 is: 62,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,275.20 : 114,914.88 = 45,547.20 : x
  2. Step 2: Convert to fraction form
    83,275.20/114,914.88 = 45,547.20/x
  3. Step 3: Cross multiply
    83,275.20x = 114,914.88 × 45,547.20
  4. Step 4: Simplify right side
    83,275.20x = 5,234,051,022.34
  5. Step 5: Solve for x
    x = 5,234,051,022.34/83,275.20
  6. Step 6: Final answer
    x = 62,852.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.