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Finding the Fourth Proportional to 102,547.60, 153,821.40 and 32,432.40

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Solution

The fourth proportional to 102,547.60, 153,821.40 and 32,432.40 is: 48,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,547.60 : 153,821.40 = 32,432.40 : x
  2. Step 2: Convert to fraction form
    102,547.60/153,821.40 = 32,432.40/x
  3. Step 3: Cross multiply
    102,547.60x = 153,821.40 × 32,432.40
  4. Step 4: Simplify right side
    102,547.60x = 4,988,797,173.36
  5. Step 5: Solve for x
    x = 4,988,797,173.36/102,547.60
  6. Step 6: Final answer
    x = 48,648.60

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1.5x scale

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.