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Finding the Fourth Proportional to 97,752, 134,897.76 and 53,040

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Solution

The fourth proportional to 97,752, 134,897.76 and 53,040 is: 73,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,752 : 134,897.76 = 53,040 : x
  2. Step 2: Convert to fraction form
    97,752/134,897.76 = 53,040/x
  3. Step 3: Cross multiply
    97,752x = 134,897.76 × 53,040
  4. Step 4: Simplify right side
    97,752x = 7,154,977,190.40
  5. Step 5: Solve for x
    x = 7,154,977,190.40/97,752
  6. Step 6: Final answer
    x = 73,195.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.