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Finding the Fourth Proportional to 64,931.60, 97,397.40 and 41,430.80

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Solution

The fourth proportional to 64,931.60, 97,397.40 and 41,430.80 is: 62,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,931.60 : 97,397.40 = 41,430.80 : x
  2. Step 2: Convert to fraction form
    64,931.60/97,397.40 = 41,430.80/x
  3. Step 3: Cross multiply
    64,931.60x = 97,397.40 × 41,430.80
  4. Step 4: Simplify right side
    64,931.60x = 4,035,252,199.92
  5. Step 5: Solve for x
    x = 4,035,252,199.92/64,931.60
  6. Step 6: Final answer
    x = 62,146.20

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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.