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Finding the Fourth Proportional to 65,122.40, 97,683.60 and 37,031.60

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Solution

The fourth proportional to 65,122.40, 97,683.60 and 37,031.60 is: 55,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.40 : 97,683.60 = 37,031.60 : x
  2. Step 2: Convert to fraction form
    65,122.40/97,683.60 = 37,031.60/x
  3. Step 3: Cross multiply
    65,122.40x = 97,683.60 × 37,031.60
  4. Step 4: Simplify right side
    65,122.40x = 3,617,380,001.76
  5. Step 5: Solve for x
    x = 3,617,380,001.76/65,122.40
  6. Step 6: Final answer
    x = 55,547.40

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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.