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Finding the Fourth Proportional to 51,397.60, 77,038.80 and 21,810.40

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Solution

The fourth proportional to 51,397.60, 77,038.80 and 21,810.40 is: 32,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,397.60 : 77,038.80 = 21,810.40 : x
  2. Step 2: Convert to fraction form
    51,397.60/77,038.80 = 21,810.40/x
  3. Step 3: Cross multiply
    51,397.60x = 77,038.80 × 21,810.40
  4. Step 4: Simplify right side
    51,397.60x = 1,680,247,043.52
  5. Step 5: Solve for x
    x = 1,680,247,043.52/51,397.60
  6. Step 6: Final answer
    x = 32,691.16

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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.