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Finding the Fourth Proportional to 65,335.84, 97,880.40 and 38,602.06

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Solution

The fourth proportional to 65,335.84, 97,880.40 and 38,602.06 is: 57,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,335.84 : 97,880.40 = 38,602.06 : x
  2. Step 2: Convert to fraction form
    65,335.84/97,880.40 = 38,602.06/x
  3. Step 3: Cross multiply
    65,335.84x = 97,880.40 × 38,602.06
  4. Step 4: Simplify right side
    65,335.84x = 3,778,385,073.62
  5. Step 5: Solve for x
    x = 3,778,385,073.62/65,335.84
  6. Step 6: Final answer
    x = 57,830.21

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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.