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Finding the Fourth Proportional to 64,831.60, 97,117.80 and 37,097.20

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Solution

The fourth proportional to 64,831.60, 97,117.80 and 37,097.20 is: 55,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,831.60 : 97,117.80 = 37,097.20 : x
  2. Step 2: Convert to fraction form
    64,831.60/97,117.80 = 37,097.20/x
  3. Step 3: Cross multiply
    64,831.60x = 97,117.80 × 37,097.20
  4. Step 4: Simplify right side
    64,831.60x = 3,602,798,450.16
  5. Step 5: Solve for x
    x = 3,602,798,450.16/64,831.60
  6. Step 6: Final answer
    x = 55,571.64

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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.